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Finding the Fourth Proportional to 4,857.44, 6,691.56 and 3,862.40

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Solution

The fourth proportional to 4,857.44, 6,691.56 and 3,862.40 is: 5,320.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857.44 : 6,691.56 = 3,862.40 : x
  2. Step 2: Convert to fraction form
    4,857.44/6,691.56 = 3,862.40/x
  3. Step 3: Cross multiply
    4,857.44x = 6,691.56 × 3,862.40
  4. Step 4: Simplify right side
    4,857.44x = 25,845,481.34
  5. Step 5: Solve for x
    x = 25,845,481.34/4,857.44
  6. Step 6: Final answer
    x = 5,320.80

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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.