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Finding the Fourth Proportional to 3,914.02, 5,871.07 and 992.33

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Solution

The fourth proportional to 3,914.02, 5,871.07 and 992.33 is: 1,488.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.02 : 5,871.07 = 992.33 : x
  2. Step 2: Convert to fraction form
    3,914.02/5,871.07 = 992.33/x
  3. Step 3: Cross multiply
    3,914.02x = 5,871.07 × 992.33
  4. Step 4: Simplify right side
    3,914.02x = 5,826,032.79
  5. Step 5: Solve for x
    x = 5,826,032.79/3,914.02
  6. Step 6: Final answer
    x = 1,488.50

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Find fourth proportional to 1,957.01, 2,935.54 and 496.16
Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.