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Finding the Fourth Proportional to 3,863.29, 5,797.58 and 2,133.13

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Solution

The fourth proportional to 3,863.29, 5,797.58 and 2,133.13 is: 3,201.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.29 : 5,797.58 = 2,133.13 : x
  2. Step 2: Convert to fraction form
    3,863.29/5,797.58 = 2,133.13/x
  3. Step 3: Cross multiply
    3,863.29x = 5,797.58 × 2,133.13
  4. Step 4: Simplify right side
    3,863.29x = 12,366,981.16
  5. Step 5: Solve for x
    x = 12,366,981.16/3,863.29
  6. Step 6: Final answer
    x = 3,201.15

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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.