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Finding the Fourth Proportional to 3,697.31, 5,099.25 and 3,139.22

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Solution

The fourth proportional to 3,697.31, 5,099.25 and 3,139.22 is: 4,329.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.31 : 5,099.25 = 3,139.22 : x
  2. Step 2: Convert to fraction form
    3,697.31/5,099.25 = 3,139.22/x
  3. Step 3: Cross multiply
    3,697.31x = 5,099.25 × 3,139.22
  4. Step 4: Simplify right side
    3,697.31x = 16,007,692.11
  5. Step 5: Solve for x
    x = 16,007,692.11/3,697.31
  6. Step 6: Final answer
    x = 4,329.55

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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.