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Finding the Fourth Proportional to 3,883.39, 5,846.98 and 3,424.12

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Solution

The fourth proportional to 3,883.39, 5,846.98 and 3,424.12 is: 5,155.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.39 : 5,846.98 = 3,424.12 : x
  2. Step 2: Convert to fraction form
    3,883.39/5,846.98 = 3,424.12/x
  3. Step 3: Cross multiply
    3,883.39x = 5,846.98 × 3,424.12
  4. Step 4: Simplify right side
    3,883.39x = 20,020,761.16
  5. Step 5: Solve for x
    x = 20,020,761.16/3,883.39
  6. Step 6: Final answer
    x = 5,155.49

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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.