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Finding the Fourth Proportional to 3,712.78, 5,125.38 and 2,387.25

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Solution

The fourth proportional to 3,712.78, 5,125.38 and 2,387.25 is: 3,295.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.78 : 5,125.38 = 2,387.25 : x
  2. Step 2: Convert to fraction form
    3,712.78/5,125.38 = 2,387.25/x
  3. Step 3: Cross multiply
    3,712.78x = 5,125.38 × 2,387.25
  4. Step 4: Simplify right side
    3,712.78x = 12,235,554.45
  5. Step 5: Solve for x
    x = 12,235,554.45/3,712.78
  6. Step 6: Final answer
    x = 3,295.52

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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.