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Finding the Fourth Proportional to 4,487.81, 6,731.96 and 1,714.71

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Solution

The fourth proportional to 4,487.81, 6,731.96 and 1,714.71 is: 2,572.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,487.81 : 6,731.96 = 1,714.71 : x
  2. Step 2: Convert to fraction form
    4,487.81/6,731.96 = 1,714.71/x
  3. Step 3: Cross multiply
    4,487.81x = 6,731.96 × 1,714.71
  4. Step 4: Simplify right side
    4,487.81x = 11,543,359.13
  5. Step 5: Solve for x
    x = 11,543,359.13/4,487.81
  6. Step 6: Final answer
    x = 2,572.16

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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.