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Finding the Fourth Proportional to 5,139.72, 7,709.60 and 1,244.12

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Solution

The fourth proportional to 5,139.72, 7,709.60 and 1,244.12 is: 1,866.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,139.72 : 7,709.60 = 1,244.12 : x
  2. Step 2: Convert to fraction form
    5,139.72/7,709.60 = 1,244.12/x
  3. Step 3: Cross multiply
    5,139.72x = 7,709.60 × 1,244.12
  4. Step 4: Simplify right side
    5,139.72x = 9,591,667.55
  5. Step 5: Solve for x
    x = 9,591,667.55/5,139.72
  6. Step 6: Final answer
    x = 1,866.18

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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.