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Finding the Fourth Proportional to 4,614.57, 6,376.23 and 3,627.72

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Solution

The fourth proportional to 4,614.57, 6,376.23 and 3,627.72 is: 5,012.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.57 : 6,376.23 = 3,627.72 : x
  2. Step 2: Convert to fraction form
    4,614.57/6,376.23 = 3,627.72/x
  3. Step 3: Cross multiply
    4,614.57x = 6,376.23 × 3,627.72
  4. Step 4: Simplify right side
    4,614.57x = 23,131,177.10
  5. Step 5: Solve for x
    x = 23,131,177.10/4,614.57
  6. Step 6: Final answer
    x = 5,012.64

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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.