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Finding the Fourth Proportional to 2,789.92, 3,838.72 and 2,559.52

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Solution

The fourth proportional to 2,789.92, 3,838.72 and 2,559.52 is: 3,521.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,789.92 : 3,838.72 = 2,559.52 : x
  2. Step 2: Convert to fraction form
    2,789.92/3,838.72 = 2,559.52/x
  3. Step 3: Cross multiply
    2,789.92x = 3,838.72 × 2,559.52
  4. Step 4: Simplify right side
    2,789.92x = 9,825,280.61
  5. Step 5: Solve for x
    x = 9,825,280.61/2,789.92
  6. Step 6: Final answer
    x = 3,521.71

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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.