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Finding the Fourth Proportional to 5,781.89, 8,669.18 and 3,186.65

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Solution

The fourth proportional to 5,781.89, 8,669.18 and 3,186.65 is: 4,777.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.89 : 8,669.18 = 3,186.65 : x
  2. Step 2: Convert to fraction form
    5,781.89/8,669.18 = 3,186.65/x
  3. Step 3: Cross multiply
    5,781.89x = 8,669.18 × 3,186.65
  4. Step 4: Simplify right side
    5,781.89x = 27,625,607.07
  5. Step 5: Solve for x
    x = 27,625,607.07/5,781.89
  6. Step 6: Final answer
    x = 4,777.96

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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.