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Finding the Fourth Proportional to 3,785.52, 5,675.42 and 2,549.46

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Solution

The fourth proportional to 3,785.52, 5,675.42 and 2,549.46 is: 3,822.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.52 : 5,675.42 = 2,549.46 : x
  2. Step 2: Convert to fraction form
    3,785.52/5,675.42 = 2,549.46/x
  3. Step 3: Cross multiply
    3,785.52x = 5,675.42 × 2,549.46
  4. Step 4: Simplify right side
    3,785.52x = 14,469,256.27
  5. Step 5: Solve for x
    x = 14,469,256.27/3,785.52
  6. Step 6: Final answer
    x = 3,822.26

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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.