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Finding the Fourth Proportional to 4,375.62, 6,560.19 and 3,766.50

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Solution

The fourth proportional to 4,375.62, 6,560.19 and 3,766.50 is: 5,646.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,375.62 : 6,560.19 = 3,766.50 : x
  2. Step 2: Convert to fraction form
    4,375.62/6,560.19 = 3,766.50/x
  3. Step 3: Cross multiply
    4,375.62x = 6,560.19 × 3,766.50
  4. Step 4: Simplify right side
    4,375.62x = 24,708,955.64
  5. Step 5: Solve for x
    x = 24,708,955.64/4,375.62
  6. Step 6: Final answer
    x = 5,646.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.