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Finding the Fourth Proportional to 4,139.52, 5,712.86 and 2,371.69

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Solution

The fourth proportional to 4,139.52, 5,712.86 and 2,371.69 is: 3,273.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,139.52 : 5,712.86 = 2,371.69 : x
  2. Step 2: Convert to fraction form
    4,139.52/5,712.86 = 2,371.69/x
  3. Step 3: Cross multiply
    4,139.52x = 5,712.86 × 2,371.69
  4. Step 4: Simplify right side
    4,139.52x = 13,549,132.93
  5. Step 5: Solve for x
    x = 13,549,132.93/4,139.52
  6. Step 6: Final answer
    x = 3,273.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.