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Finding the Fourth Proportional to 4,498.78, 6,748.17 and 2,306.11

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Solution

The fourth proportional to 4,498.78, 6,748.17 and 2,306.11 is: 3,459.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,498.78 : 6,748.17 = 2,306.11 : x
  2. Step 2: Convert to fraction form
    4,498.78/6,748.17 = 2,306.11/x
  3. Step 3: Cross multiply
    4,498.78x = 6,748.17 × 2,306.11
  4. Step 4: Simplify right side
    4,498.78x = 15,561,996.80
  5. Step 5: Solve for x
    x = 15,561,996.80/4,498.78
  6. Step 6: Final answer
    x = 3,459.16

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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.