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Finding the Fourth Proportional to 3,993.14, 5,991.57 and 1,527.15

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Solution

The fourth proportional to 3,993.14, 5,991.57 and 1,527.15 is: 2,291.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.14 : 5,991.57 = 1,527.15 : x
  2. Step 2: Convert to fraction form
    3,993.14/5,991.57 = 1,527.15/x
  3. Step 3: Cross multiply
    3,993.14x = 5,991.57 × 1,527.15
  4. Step 4: Simplify right side
    3,993.14x = 9,150,026.13
  5. Step 5: Solve for x
    x = 9,150,026.13/3,993.14
  6. Step 6: Final answer
    x = 2,291.44

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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.