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Finding the Fourth Proportional to 3,909.06, 5,394.42 and 2,230.56

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Solution

The fourth proportional to 3,909.06, 5,394.42 and 2,230.56 is: 3,078.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.06 : 5,394.42 = 2,230.56 : x
  2. Step 2: Convert to fraction form
    3,909.06/5,394.42 = 2,230.56/x
  3. Step 3: Cross multiply
    3,909.06x = 5,394.42 × 2,230.56
  4. Step 4: Simplify right side
    3,909.06x = 12,032,577.48
  5. Step 5: Solve for x
    x = 12,032,577.48/3,909.06
  6. Step 6: Final answer
    x = 3,078.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.