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Finding the Fourth Proportional to 5,263.40, 7,265 and 3,691.88

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Solution

The fourth proportional to 5,263.40, 7,265 and 3,691.88 is: 5,095.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,263.40 : 7,265 = 3,691.88 : x
  2. Step 2: Convert to fraction form
    5,263.40/7,265 = 3,691.88/x
  3. Step 3: Cross multiply
    5,263.40x = 7,265 × 3,691.88
  4. Step 4: Simplify right side
    5,263.40x = 26,821,508.20
  5. Step 5: Solve for x
    x = 26,821,508.20/5,263.40
  6. Step 6: Final answer
    x = 5,095.85

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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.