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Finding the Fourth Proportional to 5,659.74, 8,432.24 and 5,380.90

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Solution

The fourth proportional to 5,659.74, 8,432.24 and 5,380.90 is: 8,016.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659.74 : 8,432.24 = 5,380.90 : x
  2. Step 2: Convert to fraction form
    5,659.74/8,432.24 = 5,380.90/x
  3. Step 3: Cross multiply
    5,659.74x = 8,432.24 × 5,380.90
  4. Step 4: Simplify right side
    5,659.74x = 45,372,992.23
  5. Step 5: Solve for x
    x = 45,372,992.23/5,659.74
  6. Step 6: Final answer
    x = 8,016.80

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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.