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Finding the Fourth Proportional to 3,424.14, 5,137.11 and 1,475.88

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Solution

The fourth proportional to 3,424.14, 5,137.11 and 1,475.88 is: 2,214.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.14 : 5,137.11 = 1,475.88 : x
  2. Step 2: Convert to fraction form
    3,424.14/5,137.11 = 1,475.88/x
  3. Step 3: Cross multiply
    3,424.14x = 5,137.11 × 1,475.88
  4. Step 4: Simplify right side
    3,424.14x = 7,581,757.91
  5. Step 5: Solve for x
    x = 7,581,757.91/3,424.14
  6. Step 6: Final answer
    x = 2,214.21

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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.