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Finding the Fourth Proportional to 5,102.58, 7,655.19 and 2,139.43

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Solution

The fourth proportional to 5,102.58, 7,655.19 and 2,139.43 is: 3,209.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.58 : 7,655.19 = 2,139.43 : x
  2. Step 2: Convert to fraction form
    5,102.58/7,655.19 = 2,139.43/x
  3. Step 3: Cross multiply
    5,102.58x = 7,655.19 × 2,139.43
  4. Step 4: Simplify right side
    5,102.58x = 16,377,743.14
  5. Step 5: Solve for x
    x = 16,377,743.14/5,102.58
  6. Step 6: Final answer
    x = 3,209.70

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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.