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Finding the Fourth Proportional to 5,614.68, 8,422.56 and 1,720.20

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Solution

The fourth proportional to 5,614.68, 8,422.56 and 1,720.20 is: 2,580.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.68 : 8,422.56 = 1,720.20 : x
  2. Step 2: Convert to fraction form
    5,614.68/8,422.56 = 1,720.20/x
  3. Step 3: Cross multiply
    5,614.68x = 8,422.56 × 1,720.20
  4. Step 4: Simplify right side
    5,614.68x = 14,488,487.71
  5. Step 5: Solve for x
    x = 14,488,487.71/5,614.68
  6. Step 6: Final answer
    x = 2,580.47

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