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Finding the Fourth Proportional to 3,874.38, 5,345.43 and 2,195.66

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Solution

The fourth proportional to 3,874.38, 5,345.43 and 2,195.66 is: 3,029.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.38 : 5,345.43 = 2,195.66 : x
  2. Step 2: Convert to fraction form
    3,874.38/5,345.43 = 2,195.66/x
  3. Step 3: Cross multiply
    3,874.38x = 5,345.43 × 2,195.66
  4. Step 4: Simplify right side
    3,874.38x = 11,736,720.11
  5. Step 5: Solve for x
    x = 11,736,720.11/3,874.38
  6. Step 6: Final answer
    x = 3,029.32

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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.