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Finding the Fourth Proportional to 4,348.73, 6,491.61 and 3,823.27

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Solution

The fourth proportional to 4,348.73, 6,491.61 and 3,823.27 is: 5,707.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,348.73 : 6,491.61 = 3,823.27 : x
  2. Step 2: Convert to fraction form
    4,348.73/6,491.61 = 3,823.27/x
  3. Step 3: Cross multiply
    4,348.73x = 6,491.61 × 3,823.27
  4. Step 4: Simplify right side
    4,348.73x = 24,819,161.54
  5. Step 5: Solve for x
    x = 24,819,161.54/4,348.73
  6. Step 6: Final answer
    x = 5,707.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.