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Finding the Fourth Proportional to 3,992.40, 5,989.56 and 1,527.18

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Solution

The fourth proportional to 3,992.40, 5,989.56 and 1,527.18 is: 2,291.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.40 : 5,989.56 = 1,527.18 : x
  2. Step 2: Convert to fraction form
    3,992.40/5,989.56 = 1,527.18/x
  3. Step 3: Cross multiply
    3,992.40x = 5,989.56 × 1,527.18
  4. Step 4: Simplify right side
    3,992.40x = 9,147,136.24
  5. Step 5: Solve for x
    x = 9,147,136.24/3,992.40
  6. Step 6: Final answer
    x = 2,291.14

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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.