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Finding the Fourth Proportional to 3,610.14, 5,414.79 and 1,013.30

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Solution

The fourth proportional to 3,610.14, 5,414.79 and 1,013.30 is: 1,519.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,610.14 : 5,414.79 = 1,013.30 : x
  2. Step 2: Convert to fraction form
    3,610.14/5,414.79 = 1,013.30/x
  3. Step 3: Cross multiply
    3,610.14x = 5,414.79 × 1,013.30
  4. Step 4: Simplify right side
    3,610.14x = 5,486,806.71
  5. Step 5: Solve for x
    x = 5,486,806.71/3,610.14
  6. Step 6: Final answer
    x = 1,519.83

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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.