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Finding the Fourth Proportional to 3,758.43, 5,610.75 and 3,266.49

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Solution

The fourth proportional to 3,758.43, 5,610.75 and 3,266.49 is: 4,876.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.43 : 5,610.75 = 3,266.49 : x
  2. Step 2: Convert to fraction form
    3,758.43/5,610.75 = 3,266.49/x
  3. Step 3: Cross multiply
    3,758.43x = 5,610.75 × 3,266.49
  4. Step 4: Simplify right side
    3,758.43x = 18,327,458.77
  5. Step 5: Solve for x
    x = 18,327,458.77/3,758.43
  6. Step 6: Final answer
    x = 4,876.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.