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Finding the Fourth Proportional to 3,909.25, 5,394.77 and 2,253.25

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Solution

The fourth proportional to 3,909.25, 5,394.77 and 2,253.25 is: 3,109.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.25 : 5,394.77 = 2,253.25 : x
  2. Step 2: Convert to fraction form
    3,909.25/5,394.77 = 2,253.25/x
  3. Step 3: Cross multiply
    3,909.25x = 5,394.77 × 2,253.25
  4. Step 4: Simplify right side
    3,909.25x = 12,155,765.50
  5. Step 5: Solve for x
    x = 12,155,765.50/3,909.25
  6. Step 6: Final answer
    x = 3,109.49

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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.