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Finding the Fourth Proportional to 5,705.92, 8,551.80 and 3,233.24

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Solution

The fourth proportional to 5,705.92, 8,551.80 and 3,233.24 is: 4,845.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.92 : 8,551.80 = 3,233.24 : x
  2. Step 2: Convert to fraction form
    5,705.92/8,551.80 = 3,233.24/x
  3. Step 3: Cross multiply
    5,705.92x = 8,551.80 × 3,233.24
  4. Step 4: Simplify right side
    5,705.92x = 27,650,021.83
  5. Step 5: Solve for x
    x = 27,650,021.83/5,705.92
  6. Step 6: Final answer
    x = 4,845.85

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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.