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Finding the Fourth Proportional to 4,502.62, 6,212.52 and 2,734.18

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Solution

The fourth proportional to 4,502.62, 6,212.52 and 2,734.18 is: 3,772.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,502.62 : 6,212.52 = 2,734.18 : x
  2. Step 2: Convert to fraction form
    4,502.62/6,212.52 = 2,734.18/x
  3. Step 3: Cross multiply
    4,502.62x = 6,212.52 × 2,734.18
  4. Step 4: Simplify right side
    4,502.62x = 16,986,147.93
  5. Step 5: Solve for x
    x = 16,986,147.93/4,502.62
  6. Step 6: Final answer
    x = 3,772.50

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Why These Related Problems?

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