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Finding the Fourth Proportional to 3,862.04, 5,765.09 and 3,394.96

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Solution

The fourth proportional to 3,862.04, 5,765.09 and 3,394.96 is: 5,067.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.04 : 5,765.09 = 3,394.96 : x
  2. Step 2: Convert to fraction form
    3,862.04/5,765.09 = 3,394.96/x
  3. Step 3: Cross multiply
    3,862.04x = 5,765.09 × 3,394.96
  4. Step 4: Simplify right side
    3,862.04x = 19,572,249.95
  5. Step 5: Solve for x
    x = 19,572,249.95/3,862.04
  6. Step 6: Final answer
    x = 5,067.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.