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Finding the Fourth Proportional to 3,843.40, 5,750.56 and 2,284.24

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Solution

The fourth proportional to 3,843.40, 5,750.56 and 2,284.24 is: 3,417.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.40 : 5,750.56 = 2,284.24 : x
  2. Step 2: Convert to fraction form
    3,843.40/5,750.56 = 2,284.24/x
  3. Step 3: Cross multiply
    3,843.40x = 5,750.56 × 2,284.24
  4. Step 4: Simplify right side
    3,843.40x = 13,135,659.17
  5. Step 5: Solve for x
    x = 13,135,659.17/3,843.40
  6. Step 6: Final answer
    x = 3,417.72

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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.