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Finding the Fourth Proportional to 4,534.65, 6,257.97 and 2,545.38

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Solution

The fourth proportional to 4,534.65, 6,257.97 and 2,545.38 is: 3,512.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,534.65 : 6,257.97 = 2,545.38 : x
  2. Step 2: Convert to fraction form
    4,534.65/6,257.97 = 2,545.38/x
  3. Step 3: Cross multiply
    4,534.65x = 6,257.97 × 2,545.38
  4. Step 4: Simplify right side
    4,534.65x = 15,928,911.68
  5. Step 5: Solve for x
    x = 15,928,911.68/4,534.65
  6. Step 6: Final answer
    x = 3,512.71

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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.