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Finding the Fourth Proportional to 3,630.53, 5,006.12 and 2,371.14

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Solution

The fourth proportional to 3,630.53, 5,006.12 and 2,371.14 is: 3,269.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,630.53 : 5,006.12 = 2,371.14 : x
  2. Step 2: Convert to fraction form
    3,630.53/5,006.12 = 2,371.14/x
  3. Step 3: Cross multiply
    3,630.53x = 5,006.12 × 2,371.14
  4. Step 4: Simplify right side
    3,630.53x = 11,870,199.52
  5. Step 5: Solve for x
    x = 11,870,199.52/3,630.53
  6. Step 6: Final answer
    x = 3,269.55

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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.