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Finding the Fourth Proportional to 3,882.51, 5,355.09 and 2,388.47

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Solution

The fourth proportional to 3,882.51, 5,355.09 and 2,388.47 is: 3,294.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.51 : 5,355.09 = 2,388.47 : x
  2. Step 2: Convert to fraction form
    3,882.51/5,355.09 = 2,388.47/x
  3. Step 3: Cross multiply
    3,882.51x = 5,355.09 × 2,388.47
  4. Step 4: Simplify right side
    3,882.51x = 12,790,445.04
  5. Step 5: Solve for x
    x = 12,790,445.04/3,882.51
  6. Step 6: Final answer
    x = 3,294.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.