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Finding the Fourth Proportional to 3,922.60, 5,884.71 and 1,149.36

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Solution

The fourth proportional to 3,922.60, 5,884.71 and 1,149.36 is: 1,724.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.60 : 5,884.71 = 1,149.36 : x
  2. Step 2: Convert to fraction form
    3,922.60/5,884.71 = 1,149.36/x
  3. Step 3: Cross multiply
    3,922.60x = 5,884.71 × 1,149.36
  4. Step 4: Simplify right side
    3,922.60x = 6,763,645.98
  5. Step 5: Solve for x
    x = 6,763,645.98/3,922.60
  6. Step 6: Final answer
    x = 1,724.28

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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.