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Finding the Fourth Proportional to 5,703.68, 7,871.00 and 3,185.83

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Solution

The fourth proportional to 5,703.68, 7,871.00 and 3,185.83 is: 4,396.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.68 : 7,871.00 = 3,185.83 : x
  2. Step 2: Convert to fraction form
    5,703.68/7,871.00 = 3,185.83/x
  3. Step 3: Cross multiply
    5,703.68x = 7,871.00 × 3,185.83
  4. Step 4: Simplify right side
    5,703.68x = 25,075,671.91
  5. Step 5: Solve for x
    x = 25,075,671.91/5,703.68
  6. Step 6: Final answer
    x = 4,396.40

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.