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Finding the Fourth Proportional to 3,876.42, 5,348.79 and 2,197.65

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Solution

The fourth proportional to 3,876.42, 5,348.79 and 2,197.65 is: 3,032.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.42 : 5,348.79 = 2,197.65 : x
  2. Step 2: Convert to fraction form
    3,876.42/5,348.79 = 2,197.65/x
  3. Step 3: Cross multiply
    3,876.42x = 5,348.79 × 2,197.65
  4. Step 4: Simplify right side
    3,876.42x = 11,754,768.34
  5. Step 5: Solve for x
    x = 11,754,768.34/3,876.42
  6. Step 6: Final answer
    x = 3,032.38

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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.