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Finding the Fourth Proportional to 3,884.30, 5,824.65 and 1,251.31

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Solution

The fourth proportional to 3,884.30, 5,824.65 and 1,251.31 is: 1,876.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.30 : 5,824.65 = 1,251.31 : x
  2. Step 2: Convert to fraction form
    3,884.30/5,824.65 = 1,251.31/x
  3. Step 3: Cross multiply
    3,884.30x = 5,824.65 × 1,251.31
  4. Step 4: Simplify right side
    3,884.30x = 7,288,428.23
  5. Step 5: Solve for x
    x = 7,288,428.23/3,884.30
  6. Step 6: Final answer
    x = 1,876.38

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