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Finding the Fourth Proportional to 3,691.32, 5,094.38 and 2,758.20

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Solution

The fourth proportional to 3,691.32, 5,094.38 and 2,758.20 is: 3,806.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.32 : 5,094.38 = 2,758.20 : x
  2. Step 2: Convert to fraction form
    3,691.32/5,094.38 = 2,758.20/x
  3. Step 3: Cross multiply
    3,691.32x = 5,094.38 × 2,758.20
  4. Step 4: Simplify right side
    3,691.32x = 14,051,318.92
  5. Step 5: Solve for x
    x = 14,051,318.92/3,691.32
  6. Step 6: Final answer
    x = 3,806.58

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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.