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Finding the Fourth Proportional to 3,993.60, 5,992.32 and 1,397.12

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Solution

The fourth proportional to 3,993.60, 5,992.32 and 1,397.12 is: 2,096.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.60 : 5,992.32 = 1,397.12 : x
  2. Step 2: Convert to fraction form
    3,993.60/5,992.32 = 1,397.12/x
  3. Step 3: Cross multiply
    3,993.60x = 5,992.32 × 1,397.12
  4. Step 4: Simplify right side
    3,993.60x = 8,371,990.12
  5. Step 5: Solve for x
    x = 8,371,990.12/3,993.60
  6. Step 6: Final answer
    x = 2,096.35

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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.