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Finding the Fourth Proportional to 5,498.39, 8,243.92 and 2,831.72

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Solution

The fourth proportional to 5,498.39, 8,243.92 and 2,831.72 is: 4,245.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498.39 : 8,243.92 = 2,831.72 : x
  2. Step 2: Convert to fraction form
    5,498.39/8,243.92 = 2,831.72/x
  3. Step 3: Cross multiply
    5,498.39x = 8,243.92 × 2,831.72
  4. Step 4: Simplify right side
    5,498.39x = 23,344,435.46
  5. Step 5: Solve for x
    x = 23,344,435.46/5,498.39
  6. Step 6: Final answer
    x = 4,245.68

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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.