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Finding the Fourth Proportional to 3,884.33, 5,825.13 and 1,251.73

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Solution

The fourth proportional to 3,884.33, 5,825.13 and 1,251.73 is: 1,877.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.33 : 5,825.13 = 1,251.73 : x
  2. Step 2: Convert to fraction form
    3,884.33/5,825.13 = 1,251.73/x
  3. Step 3: Cross multiply
    3,884.33x = 5,825.13 × 1,251.73
  4. Step 4: Simplify right side
    3,884.33x = 7,291,492.56
  5. Step 5: Solve for x
    x = 7,291,492.56/3,884.33
  6. Step 6: Final answer
    x = 1,877.15

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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.