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Finding the Fourth Proportional to 3,876.72, 5,348.98 and 2,197.74

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Solution

The fourth proportional to 3,876.72, 5,348.98 and 2,197.74 is: 3,032.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.72 : 5,348.98 = 2,197.74 : x
  2. Step 2: Convert to fraction form
    3,876.72/5,348.98 = 2,197.74/x
  3. Step 3: Cross multiply
    3,876.72x = 5,348.98 × 2,197.74
  4. Step 4: Simplify right side
    3,876.72x = 11,755,667.31
  5. Step 5: Solve for x
    x = 11,755,667.31/3,876.72
  6. Step 6: Final answer
    x = 3,032.37

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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.