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Finding the Fourth Proportional to 3,712.88, 5,569.86 and 1,248.32

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Solution

The fourth proportional to 3,712.88, 5,569.86 and 1,248.32 is: 1,872.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.88 : 5,569.86 = 1,248.32 : x
  2. Step 2: Convert to fraction form
    3,712.88/5,569.86 = 1,248.32/x
  3. Step 3: Cross multiply
    3,712.88x = 5,569.86 × 1,248.32
  4. Step 4: Simplify right side
    3,712.88x = 6,952,967.64
  5. Step 5: Solve for x
    x = 6,952,967.64/3,712.88
  6. Step 6: Final answer
    x = 1,872.66

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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.