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Finding the Fourth Proportional to 3,172.67, 4,375.63 and 2,377.86

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Solution

The fourth proportional to 3,172.67, 4,375.63 and 2,377.86 is: 3,279.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.67 : 4,375.63 = 2,377.86 : x
  2. Step 2: Convert to fraction form
    3,172.67/4,375.63 = 2,377.86/x
  3. Step 3: Cross multiply
    3,172.67x = 4,375.63 × 2,377.86
  4. Step 4: Simplify right side
    3,172.67x = 10,404,635.55
  5. Step 5: Solve for x
    x = 10,404,635.55/3,172.67
  6. Step 6: Final answer
    x = 3,279.46

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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.