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Finding the Fourth Proportional to 3,634.50, 5,451.12 and 1,036.92

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Solution

The fourth proportional to 3,634.50, 5,451.12 and 1,036.92 is: 1,555.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634.50 : 5,451.12 = 1,036.92 : x
  2. Step 2: Convert to fraction form
    3,634.50/5,451.12 = 1,036.92/x
  3. Step 3: Cross multiply
    3,634.50x = 5,451.12 × 1,036.92
  4. Step 4: Simplify right side
    3,634.50x = 5,652,375.35
  5. Step 5: Solve for x
    x = 5,652,375.35/3,634.50
  6. Step 6: Final answer
    x = 1,555.20

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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.