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Finding the Fourth Proportional to 5,685.79, 7,846.26 and 3,167.80

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Solution

The fourth proportional to 5,685.79, 7,846.26 and 3,167.80 is: 4,371.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685.79 : 7,846.26 = 3,167.80 : x
  2. Step 2: Convert to fraction form
    5,685.79/7,846.26 = 3,167.80/x
  3. Step 3: Cross multiply
    5,685.79x = 7,846.26 × 3,167.80
  4. Step 4: Simplify right side
    5,685.79x = 24,855,382.43
  5. Step 5: Solve for x
    x = 24,855,382.43/5,685.79
  6. Step 6: Final answer
    x = 4,371.49

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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.