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Finding the Fourth Proportional to 3,691.90, 5,535.42 and 1,498.42

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Solution

The fourth proportional to 3,691.90, 5,535.42 and 1,498.42 is: 2,246.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.90 : 5,535.42 = 1,498.42 : x
  2. Step 2: Convert to fraction form
    3,691.90/5,535.42 = 1,498.42/x
  3. Step 3: Cross multiply
    3,691.90x = 5,535.42 × 1,498.42
  4. Step 4: Simplify right side
    3,691.90x = 8,294,384.04
  5. Step 5: Solve for x
    x = 8,294,384.04/3,691.90
  6. Step 6: Final answer
    x = 2,246.64

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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.