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Finding the Fourth Proportional to 3,456.88, 5,179.52 and 2,478.08

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Solution

The fourth proportional to 3,456.88, 5,179.52 and 2,478.08 is: 3,712.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.88 : 5,179.52 = 2,478.08 : x
  2. Step 2: Convert to fraction form
    3,456.88/5,179.52 = 2,478.08/x
  3. Step 3: Cross multiply
    3,456.88x = 5,179.52 × 2,478.08
  4. Step 4: Simplify right side
    3,456.88x = 12,835,264.92
  5. Step 5: Solve for x
    x = 12,835,264.92/3,456.88
  6. Step 6: Final answer
    x = 3,712.96

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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.