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Finding the Fourth Proportional to 4,188.77, 5,781.24 and 3,131.83

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Solution

The fourth proportional to 4,188.77, 5,781.24 and 3,131.83 is: 4,322.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188.77 : 5,781.24 = 3,131.83 : x
  2. Step 2: Convert to fraction form
    4,188.77/5,781.24 = 3,131.83/x
  3. Step 3: Cross multiply
    4,188.77x = 5,781.24 × 3,131.83
  4. Step 4: Simplify right side
    4,188.77x = 18,105,860.87
  5. Step 5: Solve for x
    x = 18,105,860.87/4,188.77
  6. Step 6: Final answer
    x = 4,322.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.