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Finding the Fourth Proportional to 3,843.16, 5,773.39 and 2,284.18

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Solution

The fourth proportional to 3,843.16, 5,773.39 and 2,284.18 is: 3,431.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.16 : 5,773.39 = 2,284.18 : x
  2. Step 2: Convert to fraction form
    3,843.16/5,773.39 = 2,284.18/x
  3. Step 3: Cross multiply
    3,843.16x = 5,773.39 × 2,284.18
  4. Step 4: Simplify right side
    3,843.16x = 13,187,461.97
  5. Step 5: Solve for x
    x = 13,187,461.97/3,843.16
  6. Step 6: Final answer
    x = 3,431.41

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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.