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Finding the Fourth Proportional to 4,534.68, 6,257.86 and 2,545.88

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Solution

The fourth proportional to 4,534.68, 6,257.86 and 2,545.88 is: 3,513.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,534.68 : 6,257.86 = 2,545.88 : x
  2. Step 2: Convert to fraction form
    4,534.68/6,257.86 = 2,545.88/x
  3. Step 3: Cross multiply
    4,534.68x = 6,257.86 × 2,545.88
  4. Step 4: Simplify right side
    4,534.68x = 15,931,760.62
  5. Step 5: Solve for x
    x = 15,931,760.62/4,534.68
  6. Step 6: Final answer
    x = 3,513.32

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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.