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Finding the Fourth Proportional to 5,846.43, 8,766.56 and 3,998.07

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Solution

The fourth proportional to 5,846.43, 8,766.56 and 3,998.07 is: 5,995.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846.43 : 8,766.56 = 3,998.07 : x
  2. Step 2: Convert to fraction form
    5,846.43/8,766.56 = 3,998.07/x
  3. Step 3: Cross multiply
    5,846.43x = 8,766.56 × 3,998.07
  4. Step 4: Simplify right side
    5,846.43x = 35,049,320.54
  5. Step 5: Solve for x
    x = 35,049,320.54/5,846.43
  6. Step 6: Final answer
    x = 5,995.00

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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.