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Finding the Fourth Proportional to 5,781.68, 8,691.86 and 4,563.77

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Solution

The fourth proportional to 5,781.68, 8,691.86 and 4,563.77 is: 6,860.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.68 : 8,691.86 = 4,563.77 : x
  2. Step 2: Convert to fraction form
    5,781.68/8,691.86 = 4,563.77/x
  3. Step 3: Cross multiply
    5,781.68x = 8,691.86 × 4,563.77
  4. Step 4: Simplify right side
    5,781.68x = 39,667,583.63
  5. Step 5: Solve for x
    x = 39,667,583.63/5,781.68
  6. Step 6: Final answer
    x = 6,860.92

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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.