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Finding the Fourth Proportional to 3,837.78, 5,757.28 and 1,646.53

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Solution

The fourth proportional to 3,837.78, 5,757.28 and 1,646.53 is: 2,470.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837.78 : 5,757.28 = 1,646.53 : x
  2. Step 2: Convert to fraction form
    3,837.78/5,757.28 = 1,646.53/x
  3. Step 3: Cross multiply
    3,837.78x = 5,757.28 × 1,646.53
  4. Step 4: Simplify right side
    3,837.78x = 9,479,515.73
  5. Step 5: Solve for x
    x = 9,479,515.73/3,837.78
  6. Step 6: Final answer
    x = 2,470.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.