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Finding the Fourth Proportional to 5,781.86, 8,677.40 and 2,086.68

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Solution

The fourth proportional to 5,781.86, 8,677.40 and 2,086.68 is: 3,131.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.86 : 8,677.40 = 2,086.68 : x
  2. Step 2: Convert to fraction form
    5,781.86/8,677.40 = 2,086.68/x
  3. Step 3: Cross multiply
    5,781.86x = 8,677.40 × 2,086.68
  4. Step 4: Simplify right side
    5,781.86x = 18,106,957.03
  5. Step 5: Solve for x
    x = 18,106,957.03/5,781.86
  6. Step 6: Final answer
    x = 3,131.68

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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.