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Finding the Fourth Proportional to 4,009.92, 6,049.68 and 3,828.48

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Solution

The fourth proportional to 4,009.92, 6,049.68 and 3,828.48 is: 5,775.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,009.92 : 6,049.68 = 3,828.48 : x
  2. Step 2: Convert to fraction form
    4,009.92/6,049.68 = 3,828.48/x
  3. Step 3: Cross multiply
    4,009.92x = 6,049.68 × 3,828.48
  4. Step 4: Simplify right side
    4,009.92x = 23,161,078.89
  5. Step 5: Solve for x
    x = 23,161,078.89/4,009.92
  6. Step 6: Final answer
    x = 5,775.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.