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Finding the Fourth Proportional to 3,989.64, 5,505.53 and 2,221.21

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Solution

The fourth proportional to 3,989.64, 5,505.53 and 2,221.21 is: 3,065.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,989.64 : 5,505.53 = 2,221.21 : x
  2. Step 2: Convert to fraction form
    3,989.64/5,505.53 = 2,221.21/x
  3. Step 3: Cross multiply
    3,989.64x = 5,505.53 × 2,221.21
  4. Step 4: Simplify right side
    3,989.64x = 12,228,938.29
  5. Step 5: Solve for x
    x = 12,228,938.29/3,989.64
  6. Step 6: Final answer
    x = 3,065.17

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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.