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Finding the Fourth Proportional to 3,863.16, 5,796.18 and 2,131.32

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Solution

The fourth proportional to 3,863.16, 5,796.18 and 2,131.32 is: 3,197.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.16 : 5,796.18 = 2,131.32 : x
  2. Step 2: Convert to fraction form
    3,863.16/5,796.18 = 2,131.32/x
  3. Step 3: Cross multiply
    3,863.16x = 5,796.18 × 2,131.32
  4. Step 4: Simplify right side
    3,863.16x = 12,353,514.36
  5. Step 5: Solve for x
    x = 12,353,514.36/3,863.16
  6. Step 6: Final answer
    x = 3,197.77

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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.