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Finding the Fourth Proportional to 5,705.67, 8,552.69 and 3,856.97

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Solution

The fourth proportional to 5,705.67, 8,552.69 and 3,856.97 is: 5,781.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.67 : 8,552.69 = 3,856.97 : x
  2. Step 2: Convert to fraction form
    5,705.67/8,552.69 = 3,856.97/x
  3. Step 3: Cross multiply
    5,705.67x = 8,552.69 × 3,856.97
  4. Step 4: Simplify right side
    5,705.67x = 32,987,468.75
  5. Step 5: Solve for x
    x = 32,987,468.75/5,705.67
  6. Step 6: Final answer
    x = 5,781.52

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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.