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Finding the Fourth Proportional to 5,139.57, 7,709.28 and 1,243.95

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Solution

The fourth proportional to 5,139.57, 7,709.28 and 1,243.95 is: 1,865.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,139.57 : 7,709.28 = 1,243.95 : x
  2. Step 2: Convert to fraction form
    5,139.57/7,709.28 = 1,243.95/x
  3. Step 3: Cross multiply
    5,139.57x = 7,709.28 × 1,243.95
  4. Step 4: Simplify right side
    5,139.57x = 9,589,958.86
  5. Step 5: Solve for x
    x = 9,589,958.86/5,139.57
  6. Step 6: Final answer
    x = 1,865.91

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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.