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Finding the Fourth Proportional to 3,764.92, 5,648.16 and 1,132.32

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Solution

The fourth proportional to 3,764.92, 5,648.16 and 1,132.32 is: 1,698.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.92 : 5,648.16 = 1,132.32 : x
  2. Step 2: Convert to fraction form
    3,764.92/5,648.16 = 1,132.32/x
  3. Step 3: Cross multiply
    3,764.92x = 5,648.16 × 1,132.32
  4. Step 4: Simplify right side
    3,764.92x = 6,395,524.53
  5. Step 5: Solve for x
    x = 6,395,524.53/3,764.92
  6. Step 6: Final answer
    x = 1,698.71

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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.