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Finding the Fourth Proportional to 4,197.62, 6,294 and 2,444.78

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Solution

The fourth proportional to 4,197.62, 6,294 and 2,444.78 is: 3,665.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.62 : 6,294 = 2,444.78 : x
  2. Step 2: Convert to fraction form
    4,197.62/6,294 = 2,444.78/x
  3. Step 3: Cross multiply
    4,197.62x = 6,294 × 2,444.78
  4. Step 4: Simplify right side
    4,197.62x = 15,387,445.32
  5. Step 5: Solve for x
    x = 15,387,445.32/4,197.62
  6. Step 6: Final answer
    x = 3,665.75

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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.