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Finding the Fourth Proportional to 3,984.34, 5,977.29 and 1,645.62

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Solution

The fourth proportional to 3,984.34, 5,977.29 and 1,645.62 is: 2,468.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.34 : 5,977.29 = 1,645.62 : x
  2. Step 2: Convert to fraction form
    3,984.34/5,977.29 = 1,645.62/x
  3. Step 3: Cross multiply
    3,984.34x = 5,977.29 × 1,645.62
  4. Step 4: Simplify right side
    3,984.34x = 9,836,331.73
  5. Step 5: Solve for x
    x = 9,836,331.73/3,984.34
  6. Step 6: Final answer
    x = 2,468.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.