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Finding the Fourth Proportional to 3,691.62, 5,533.97 and 1,351.08

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Solution

The fourth proportional to 3,691.62, 5,533.97 and 1,351.08 is: 2,025.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.62 : 5,533.97 = 1,351.08 : x
  2. Step 2: Convert to fraction form
    3,691.62/5,533.97 = 1,351.08/x
  3. Step 3: Cross multiply
    3,691.62x = 5,533.97 × 1,351.08
  4. Step 4: Simplify right side
    3,691.62x = 7,476,829.43
  5. Step 5: Solve for x
    x = 7,476,829.43/3,691.62
  6. Step 6: Final answer
    x = 2,025.35

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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.