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Finding the Fourth Proportional to 3,478.92, 5,220.36 and 2,308.14

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Solution

The fourth proportional to 3,478.92, 5,220.36 and 2,308.14 is: 3,463.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.92 : 5,220.36 = 2,308.14 : x
  2. Step 2: Convert to fraction form
    3,478.92/5,220.36 = 2,308.14/x
  3. Step 3: Cross multiply
    3,478.92x = 5,220.36 × 2,308.14
  4. Step 4: Simplify right side
    3,478.92x = 12,049,321.73
  5. Step 5: Solve for x
    x = 12,049,321.73/3,478.92
  6. Step 6: Final answer
    x = 3,463.52

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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.