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Finding the Fourth Proportional to 3,789.64, 5,230.48 and 2,218.12

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Solution

The fourth proportional to 3,789.64, 5,230.48 and 2,218.12 is: 3,061.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.64 : 5,230.48 = 2,218.12 : x
  2. Step 2: Convert to fraction form
    3,789.64/5,230.48 = 2,218.12/x
  3. Step 3: Cross multiply
    3,789.64x = 5,230.48 × 2,218.12
  4. Step 4: Simplify right side
    3,789.64x = 11,601,832.30
  5. Step 5: Solve for x
    x = 11,601,832.30/3,789.64
  6. Step 6: Final answer
    x = 3,061.46

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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.