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Finding the Fourth Proportional to 5,139.14, 7,708.71 and 1,243.55

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Solution

The fourth proportional to 5,139.14, 7,708.71 and 1,243.55 is: 1,865.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,139.14 : 7,708.71 = 1,243.55 : x
  2. Step 2: Convert to fraction form
    5,139.14/7,708.71 = 1,243.55/x
  3. Step 3: Cross multiply
    5,139.14x = 7,708.71 × 1,243.55
  4. Step 4: Simplify right side
    5,139.14x = 9,586,127.78
  5. Step 5: Solve for x
    x = 9,586,127.78/5,139.14
  6. Step 6: Final answer
    x = 1,865.32

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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.