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Finding the Fourth Proportional to 3,897.10, 5,375.17 and 2,404.47

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Solution

The fourth proportional to 3,897.10, 5,375.17 and 2,404.47 is: 3,316.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.10 : 5,375.17 = 2,404.47 : x
  2. Step 2: Convert to fraction form
    3,897.10/5,375.17 = 2,404.47/x
  3. Step 3: Cross multiply
    3,897.10x = 5,375.17 × 2,404.47
  4. Step 4: Simplify right side
    3,897.10x = 12,924,435.01
  5. Step 5: Solve for x
    x = 12,924,435.01/3,897.10
  6. Step 6: Final answer
    x = 3,316.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.