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Finding the Fourth Proportional to 3,620.61, 5,432.13 and 1,428.15

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Solution

The fourth proportional to 3,620.61, 5,432.13 and 1,428.15 is: 2,142.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,620.61 : 5,432.13 = 1,428.15 : x
  2. Step 2: Convert to fraction form
    3,620.61/5,432.13 = 1,428.15/x
  3. Step 3: Cross multiply
    3,620.61x = 5,432.13 × 1,428.15
  4. Step 4: Simplify right side
    3,620.61x = 7,757,896.46
  5. Step 5: Solve for x
    x = 7,757,896.46/3,620.61
  6. Step 6: Final answer
    x = 2,142.70

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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.