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Finding the Fourth Proportional to 4,275.65, 6,411.96 and 2,627.24

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Solution

The fourth proportional to 4,275.65, 6,411.96 and 2,627.24 is: 3,939.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275.65 : 6,411.96 = 2,627.24 : x
  2. Step 2: Convert to fraction form
    4,275.65/6,411.96 = 2,627.24/x
  3. Step 3: Cross multiply
    4,275.65x = 6,411.96 × 2,627.24
  4. Step 4: Simplify right side
    4,275.65x = 16,845,725.73
  5. Step 5: Solve for x
    x = 16,845,725.73/4,275.65
  6. Step 6: Final answer
    x = 3,939.92

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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.