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Finding the Fourth Proportional to 4,686.62, 6,467.52 and 2,562.17

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Solution

The fourth proportional to 4,686.62, 6,467.52 and 2,562.17 is: 3,535.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.62 : 6,467.52 = 2,562.17 : x
  2. Step 2: Convert to fraction form
    4,686.62/6,467.52 = 2,562.17/x
  3. Step 3: Cross multiply
    4,686.62x = 6,467.52 × 2,562.17
  4. Step 4: Simplify right side
    4,686.62x = 16,570,853.38
  5. Step 5: Solve for x
    x = 16,570,853.38/4,686.62
  6. Step 6: Final answer
    x = 3,535.78

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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.