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Finding the Fourth Proportional to 3,862.68, 5,801.94 and 2,548.34

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Solution

The fourth proportional to 3,862.68, 5,801.94 and 2,548.34 is: 3,827.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.68 : 5,801.94 = 2,548.34 : x
  2. Step 2: Convert to fraction form
    3,862.68/5,801.94 = 2,548.34/x
  3. Step 3: Cross multiply
    3,862.68x = 5,801.94 × 2,548.34
  4. Step 4: Simplify right side
    3,862.68x = 14,785,286.77
  5. Step 5: Solve for x
    x = 14,785,286.77/3,862.68
  6. Step 6: Final answer
    x = 3,827.73

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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.