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Finding the Fourth Proportional to 3,849.88, 5,772.48 and 1,252.48

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Solution

The fourth proportional to 3,849.88, 5,772.48 and 1,252.48 is: 1,877.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.88 : 5,772.48 = 1,252.48 : x
  2. Step 2: Convert to fraction form
    3,849.88/5,772.48 = 1,252.48/x
  3. Step 3: Cross multiply
    3,849.88x = 5,772.48 × 1,252.48
  4. Step 4: Simplify right side
    3,849.88x = 7,229,915.75
  5. Step 5: Solve for x
    x = 7,229,915.75/3,849.88
  6. Step 6: Final answer
    x = 1,877.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.