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Finding the Fourth Proportional to 3,257.92, 4,882.56 and 2,388.16

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Solution

The fourth proportional to 3,257.92, 4,882.56 and 2,388.16 is: 3,579.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.92 : 4,882.56 = 2,388.16 : x
  2. Step 2: Convert to fraction form
    3,257.92/4,882.56 = 2,388.16/x
  3. Step 3: Cross multiply
    3,257.92x = 4,882.56 × 2,388.16
  4. Step 4: Simplify right side
    3,257.92x = 11,660,334.49
  5. Step 5: Solve for x
    x = 11,660,334.49/3,257.92
  6. Step 6: Final answer
    x = 3,579.07

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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.