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Finding the Fourth Proportional to 3,438.63, 5,160.42 and 2,660.58

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Solution

The fourth proportional to 3,438.63, 5,160.42 and 2,660.58 is: 3,992.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.63 : 5,160.42 = 2,660.58 : x
  2. Step 2: Convert to fraction form
    3,438.63/5,160.42 = 2,660.58/x
  3. Step 3: Cross multiply
    3,438.63x = 5,160.42 × 2,660.58
  4. Step 4: Simplify right side
    3,438.63x = 13,729,710.24
  5. Step 5: Solve for x
    x = 13,729,710.24/3,438.63
  6. Step 6: Final answer
    x = 3,992.78

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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.