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Finding the Fourth Proportional to 3,406.23, 5,109.35 and 941.00

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Solution

The fourth proportional to 3,406.23, 5,109.35 and 941.00 is: 1,411.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.23 : 5,109.35 = 941.00 : x
  2. Step 2: Convert to fraction form
    3,406.23/5,109.35 = 941.00/x
  3. Step 3: Cross multiply
    3,406.23x = 5,109.35 × 941.00
  4. Step 4: Simplify right side
    3,406.23x = 4,807,868.10
  5. Step 5: Solve for x
    x = 4,807,868.10/3,406.23
  6. Step 6: Final answer
    x = 1,411.49

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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.