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Finding the Fourth Proportional to 3,691.00, 5,536.48 and 1,158.29

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Solution

The fourth proportional to 3,691.00, 5,536.48 and 1,158.29 is: 1,737.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.00 : 5,536.48 = 1,158.29 : x
  2. Step 2: Convert to fraction form
    3,691.00/5,536.48 = 1,158.29/x
  3. Step 3: Cross multiply
    3,691.00x = 5,536.48 × 1,158.29
  4. Step 4: Simplify right side
    3,691.00x = 6,412,818.84
  5. Step 5: Solve for x
    x = 6,412,818.84/3,691.00
  6. Step 6: Final answer
    x = 1,737.42

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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.