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Finding the Fourth Proportional to 3,983.41, 5,497.14 and 2,215

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Solution

The fourth proportional to 3,983.41, 5,497.14 and 2,215 is: 3,056.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983.41 : 5,497.14 = 2,215 : x
  2. Step 2: Convert to fraction form
    3,983.41/5,497.14 = 2,215/x
  3. Step 3: Cross multiply
    3,983.41x = 5,497.14 × 2,215
  4. Step 4: Simplify right side
    3,983.41x = 12,176,165.10
  5. Step 5: Solve for x
    x = 12,176,165.10/3,983.41
  6. Step 6: Final answer
    x = 3,056.72

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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.