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Finding the Fourth Proportional to 3,691.59, 5,536.25 and 1,225.92

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Solution

The fourth proportional to 3,691.59, 5,536.25 and 1,225.92 is: 1,838.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.59 : 5,536.25 = 1,225.92 : x
  2. Step 2: Convert to fraction form
    3,691.59/5,536.25 = 1,225.92/x
  3. Step 3: Cross multiply
    3,691.59x = 5,536.25 × 1,225.92
  4. Step 4: Simplify right side
    3,691.59x = 6,786,993.47
  5. Step 5: Solve for x
    x = 6,786,993.47/3,691.59
  6. Step 6: Final answer
    x = 1,838.50

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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.