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Finding the Fourth Proportional to 3,863.94, 5,332.17 and 2,185.29

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Solution

The fourth proportional to 3,863.94, 5,332.17 and 2,185.29 is: 3,015.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.94 : 5,332.17 = 2,185.29 : x
  2. Step 2: Convert to fraction form
    3,863.94/5,332.17 = 2,185.29/x
  3. Step 3: Cross multiply
    3,863.94x = 5,332.17 × 2,185.29
  4. Step 4: Simplify right side
    3,863.94x = 11,652,337.78
  5. Step 5: Solve for x
    x = 11,652,337.78/3,863.94
  6. Step 6: Final answer
    x = 3,015.66

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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.