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Finding the Fourth Proportional to 5,685.69, 7,846.00 and 3,168.07

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Solution

The fourth proportional to 5,685.69, 7,846.00 and 3,168.07 is: 4,371.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685.69 : 7,846.00 = 3,168.07 : x
  2. Step 2: Convert to fraction form
    5,685.69/7,846.00 = 3,168.07/x
  3. Step 3: Cross multiply
    5,685.69x = 7,846.00 × 3,168.07
  4. Step 4: Simplify right side
    5,685.69x = 24,856,671.75
  5. Step 5: Solve for x
    x = 24,856,671.75/5,685.69
  6. Step 6: Final answer
    x = 4,371.80

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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.