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Finding the Fourth Proportional to 3,785.25, 5,677.89 and 1,049.25

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Solution

The fourth proportional to 3,785.25, 5,677.89 and 1,049.25 is: 1,573.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.25 : 5,677.89 = 1,049.25 : x
  2. Step 2: Convert to fraction form
    3,785.25/5,677.89 = 1,049.25/x
  3. Step 3: Cross multiply
    3,785.25x = 5,677.89 × 1,049.25
  4. Step 4: Simplify right side
    3,785.25x = 5,957,526.08
  5. Step 5: Solve for x
    x = 5,957,526.08/3,785.25
  6. Step 6: Final answer
    x = 1,573.88

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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.