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Finding the Fourth Proportional to 3,983.44, 5,497.14 and 2,215.22

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Solution

The fourth proportional to 3,983.44, 5,497.14 and 2,215.22 is: 3,057.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983.44 : 5,497.14 = 2,215.22 : x
  2. Step 2: Convert to fraction form
    3,983.44/5,497.14 = 2,215.22/x
  3. Step 3: Cross multiply
    3,983.44x = 5,497.14 × 2,215.22
  4. Step 4: Simplify right side
    3,983.44x = 12,177,374.47
  5. Step 5: Solve for x
    x = 12,177,374.47/3,983.44
  6. Step 6: Final answer
    x = 3,057.00

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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.