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Finding the Fourth Proportional to 5,906.29, 8,143.92 and 4,411.69

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Solution

The fourth proportional to 5,906.29, 8,143.92 and 4,411.69 is: 6,083.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.29 : 8,143.92 = 4,411.69 : x
  2. Step 2: Convert to fraction form
    5,906.29/8,143.92 = 4,411.69/x
  3. Step 3: Cross multiply
    5,906.29x = 8,143.92 × 4,411.69
  4. Step 4: Simplify right side
    5,906.29x = 35,928,450.42
  5. Step 5: Solve for x
    x = 35,928,450.42/5,906.29
  6. Step 6: Final answer
    x = 6,083.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.