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Finding the Fourth Proportional to 3,377.52, 4,659.38 and 2,198.16

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Solution

The fourth proportional to 3,377.52, 4,659.38 and 2,198.16 is: 3,032.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,377.52 : 4,659.38 = 2,198.16 : x
  2. Step 2: Convert to fraction form
    3,377.52/4,659.38 = 2,198.16/x
  3. Step 3: Cross multiply
    3,377.52x = 4,659.38 × 2,198.16
  4. Step 4: Simplify right side
    3,377.52x = 10,242,062.74
  5. Step 5: Solve for x
    x = 10,242,062.74/3,377.52
  6. Step 6: Final answer
    x = 3,032.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.