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Finding the Fourth Proportional to 3,983.05, 5,496.66 and 2,214.66

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Solution

The fourth proportional to 3,983.05, 5,496.66 and 2,214.66 is: 3,056.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983.05 : 5,496.66 = 2,214.66 : x
  2. Step 2: Convert to fraction form
    3,983.05/5,496.66 = 2,214.66/x
  3. Step 3: Cross multiply
    3,983.05x = 5,496.66 × 2,214.66
  4. Step 4: Simplify right side
    3,983.05x = 12,173,233.04
  5. Step 5: Solve for x
    x = 12,173,233.04/3,983.05
  6. Step 6: Final answer
    x = 3,056.26

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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.