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Finding the Fourth Proportional to 5,755.89, 8,633.42 and 3,282.96

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Solution

The fourth proportional to 5,755.89, 8,633.42 and 3,282.96 is: 4,924.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755.89 : 8,633.42 = 3,282.96 : x
  2. Step 2: Convert to fraction form
    5,755.89/8,633.42 = 3,282.96/x
  3. Step 3: Cross multiply
    5,755.89x = 8,633.42 × 3,282.96
  4. Step 4: Simplify right side
    5,755.89x = 28,343,156.11
  5. Step 5: Solve for x
    x = 28,343,156.11/5,755.89
  6. Step 6: Final answer
    x = 4,924.20

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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.