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Finding the Fourth Proportional to 3,992.40, 5,984.16 and 2,043.36

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Solution

The fourth proportional to 3,992.40, 5,984.16 and 2,043.36 is: 3,062.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.40 : 5,984.16 = 2,043.36 : x
  2. Step 2: Convert to fraction form
    3,992.40/5,984.16 = 2,043.36/x
  3. Step 3: Cross multiply
    3,992.40x = 5,984.16 × 2,043.36
  4. Step 4: Simplify right side
    3,992.40x = 12,227,793.18
  5. Step 5: Solve for x
    x = 12,227,793.18/3,992.40
  6. Step 6: Final answer
    x = 3,062.77

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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.