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Finding the Fourth Proportional to 3,877.92, 5,346.56 and 2,305.44

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Solution

The fourth proportional to 3,877.92, 5,346.56 and 2,305.44 is: 3,178.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.92 : 5,346.56 = 2,305.44 : x
  2. Step 2: Convert to fraction form
    3,877.92/5,346.56 = 2,305.44/x
  3. Step 3: Cross multiply
    3,877.92x = 5,346.56 × 2,305.44
  4. Step 4: Simplify right side
    3,877.92x = 12,326,173.29
  5. Step 5: Solve for x
    x = 12,326,173.29/3,877.92
  6. Step 6: Final answer
    x = 3,178.55

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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.