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Finding the Fourth Proportional to 3,708.80, 5,566 and 2,536

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Solution

The fourth proportional to 3,708.80, 5,566 and 2,536 is: 3,805.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,708.80 : 5,566 = 2,536 : x
  2. Step 2: Convert to fraction form
    3,708.80/5,566 = 2,536/x
  3. Step 3: Cross multiply
    3,708.80x = 5,566 × 2,536
  4. Step 4: Simplify right side
    3,708.80x = 14,115,376
  5. Step 5: Solve for x
    x = 14,115,376/3,708.80
  6. Step 6: Final answer
    x = 3,805.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.