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Finding the Fourth Proportional to 4,089.92, 6,121.92 and 3,112.32

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Solution

The fourth proportional to 4,089.92, 6,121.92 and 3,112.32 is: 4,658.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089.92 : 6,121.92 = 3,112.32 : x
  2. Step 2: Convert to fraction form
    4,089.92/6,121.92 = 3,112.32/x
  3. Step 3: Cross multiply
    4,089.92x = 6,121.92 × 3,112.32
  4. Step 4: Simplify right side
    4,089.92x = 19,053,374.05
  5. Step 5: Solve for x
    x = 19,053,374.05/4,089.92
  6. Step 6: Final answer
    x = 4,658.62

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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.