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Finding the Fourth Proportional to 3,883.64, 5,359.64 and 2,115.23

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Solution

The fourth proportional to 3,883.64, 5,359.64 and 2,115.23 is: 2,919.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.64 : 5,359.64 = 2,115.23 : x
  2. Step 2: Convert to fraction form
    3,883.64/5,359.64 = 2,115.23/x
  3. Step 3: Cross multiply
    3,883.64x = 5,359.64 × 2,115.23
  4. Step 4: Simplify right side
    3,883.64x = 11,336,833.94
  5. Step 5: Solve for x
    x = 11,336,833.94/3,883.64
  6. Step 6: Final answer
    x = 2,919.13

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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.