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Finding the Fourth Proportional to 3,691.12, 5,535.06 and 1,381

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Solution

The fourth proportional to 3,691.12, 5,535.06 and 1,381 is: 2,070.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.12 : 5,535.06 = 1,381 : x
  2. Step 2: Convert to fraction form
    3,691.12/5,535.06 = 1,381/x
  3. Step 3: Cross multiply
    3,691.12x = 5,535.06 × 1,381
  4. Step 4: Simplify right side
    3,691.12x = 7,643,917.86
  5. Step 5: Solve for x
    x = 7,643,917.86/3,691.12
  6. Step 6: Final answer
    x = 2,070.89

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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.