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Finding the Fourth Proportional to 3,989.69, 5,505.86 and 2,221.41

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Solution

The fourth proportional to 3,989.69, 5,505.86 and 2,221.41 is: 3,065.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,989.69 : 5,505.86 = 2,221.41 : x
  2. Step 2: Convert to fraction form
    3,989.69/5,505.86 = 2,221.41/x
  3. Step 3: Cross multiply
    3,989.69x = 5,505.86 × 2,221.41
  4. Step 4: Simplify right side
    3,989.69x = 12,230,772.46
  5. Step 5: Solve for x
    x = 12,230,772.46/3,989.69
  6. Step 6: Final answer
    x = 3,065.59

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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.