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Finding the Fourth Proportional to 3,860.77, 5,781.91 and 3,667.02

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Solution

The fourth proportional to 3,860.77, 5,781.91 and 3,667.02 is: 5,491.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860.77 : 5,781.91 = 3,667.02 : x
  2. Step 2: Convert to fraction form
    3,860.77/5,781.91 = 3,667.02/x
  3. Step 3: Cross multiply
    3,860.77x = 5,781.91 × 3,667.02
  4. Step 4: Simplify right side
    3,860.77x = 21,202,379.61
  5. Step 5: Solve for x
    x = 21,202,379.61/3,860.77
  6. Step 6: Final answer
    x = 5,491.75

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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.