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Finding the Fourth Proportional to 3,921.80, 5,884.24 and 1,729

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Solution

The fourth proportional to 3,921.80, 5,884.24 and 1,729 is: 2,594.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,921.80 : 5,884.24 = 1,729 : x
  2. Step 2: Convert to fraction form
    3,921.80/5,884.24 = 1,729/x
  3. Step 3: Cross multiply
    3,921.80x = 5,884.24 × 1,729
  4. Step 4: Simplify right side
    3,921.80x = 10,173,850.96
  5. Step 5: Solve for x
    x = 10,173,850.96/3,921.80
  6. Step 6: Final answer
    x = 2,594.18

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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.