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Finding the Fourth Proportional to 3,983.61, 5,496.74 and 2,215.17

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Solution

The fourth proportional to 3,983.61, 5,496.74 and 2,215.17 is: 3,056.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983.61 : 5,496.74 = 2,215.17 : x
  2. Step 2: Convert to fraction form
    3,983.61/5,496.74 = 2,215.17/x
  3. Step 3: Cross multiply
    3,983.61x = 5,496.74 × 2,215.17
  4. Step 4: Simplify right side
    3,983.61x = 12,176,202.47
  5. Step 5: Solve for x
    x = 12,176,202.47/3,983.61
  6. Step 6: Final answer
    x = 3,056.57

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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.