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Finding the Fourth Proportional to 5,657.59, 7,806.53 and 3,139.30

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Solution

The fourth proportional to 5,657.59, 7,806.53 and 3,139.30 is: 4,331.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.59 : 7,806.53 = 3,139.30 : x
  2. Step 2: Convert to fraction form
    5,657.59/7,806.53 = 3,139.30/x
  3. Step 3: Cross multiply
    5,657.59x = 7,806.53 × 3,139.30
  4. Step 4: Simplify right side
    5,657.59x = 24,506,984.90
  5. Step 5: Solve for x
    x = 24,506,984.90/5,657.59
  6. Step 6: Final answer
    x = 4,331.70

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