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Finding the Fourth Proportional to 3,438.52, 5,160.25 and 2,660.42

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Solution

The fourth proportional to 3,438.52, 5,160.25 and 2,660.42 is: 3,992.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.52 : 5,160.25 = 2,660.42 : x
  2. Step 2: Convert to fraction form
    3,438.52/5,160.25 = 2,660.42/x
  3. Step 3: Cross multiply
    3,438.52x = 5,160.25 × 2,660.42
  4. Step 4: Simplify right side
    3,438.52x = 13,728,432.31
  5. Step 5: Solve for x
    x = 13,728,432.31/3,438.52
  6. Step 6: Final answer
    x = 3,992.54

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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.