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Finding the Fourth Proportional to 3,993.16, 5,988.84 and 1,527.10

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Solution

The fourth proportional to 3,993.16, 5,988.84 and 1,527.10 is: 2,290.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.16 : 5,988.84 = 1,527.10 : x
  2. Step 2: Convert to fraction form
    3,993.16/5,988.84 = 1,527.10/x
  3. Step 3: Cross multiply
    3,993.16x = 5,988.84 × 1,527.10
  4. Step 4: Simplify right side
    3,993.16x = 9,145,557.56
  5. Step 5: Solve for x
    x = 9,145,557.56/3,993.16
  6. Step 6: Final answer
    x = 2,290.31

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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.