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Finding the Fourth Proportional to 5,456.76, 8,182.81 and 2,077.34

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Solution

The fourth proportional to 5,456.76, 8,182.81 and 2,077.34 is: 3,115.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,456.76 : 8,182.81 = 2,077.34 : x
  2. Step 2: Convert to fraction form
    5,456.76/8,182.81 = 2,077.34/x
  3. Step 3: Cross multiply
    5,456.76x = 8,182.81 × 2,077.34
  4. Step 4: Simplify right side
    5,456.76x = 16,998,432.42
  5. Step 5: Solve for x
    x = 16,998,432.42/5,456.76
  6. Step 6: Final answer
    x = 3,115.11

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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.