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Finding the Fourth Proportional to 3,983.22, 5,496.94 and 2,282

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Solution

The fourth proportional to 3,983.22, 5,496.94 and 2,282 is: 3,149.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983.22 : 5,496.94 = 2,282 : x
  2. Step 2: Convert to fraction form
    3,983.22/5,496.94 = 2,282/x
  3. Step 3: Cross multiply
    3,983.22x = 5,496.94 × 2,282
  4. Step 4: Simplify right side
    3,983.22x = 12,544,017.08
  5. Step 5: Solve for x
    x = 12,544,017.08/3,983.22
  6. Step 6: Final answer
    x = 3,149.22

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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.