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Finding the Fourth Proportional to 5,710.68, 8,562.42 and 3,207.90

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Solution

The fourth proportional to 5,710.68, 8,562.42 and 3,207.90 is: 4,809.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.68 : 8,562.42 = 3,207.90 : x
  2. Step 2: Convert to fraction form
    5,710.68/8,562.42 = 3,207.90/x
  3. Step 3: Cross multiply
    5,710.68x = 8,562.42 × 3,207.90
  4. Step 4: Simplify right side
    5,710.68x = 27,467,387.12
  5. Step 5: Solve for x
    x = 27,467,387.12/5,710.68
  6. Step 6: Final answer
    x = 4,809.83

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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.