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Finding the Fourth Proportional to 4,753.78, 6,560.18 and 2,657.90

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Solution

The fourth proportional to 4,753.78, 6,560.18 and 2,657.90 is: 3,667.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,753.78 : 6,560.18 = 2,657.90 : x
  2. Step 2: Convert to fraction form
    4,753.78/6,560.18 = 2,657.90/x
  3. Step 3: Cross multiply
    4,753.78x = 6,560.18 × 2,657.90
  4. Step 4: Simplify right side
    4,753.78x = 17,436,302.42
  5. Step 5: Solve for x
    x = 17,436,302.42/4,753.78
  6. Step 6: Final answer
    x = 3,667.88

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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.