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Finding the Fourth Proportional to 5,686.84, 7,846.90 and 3,168.38

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Solution

The fourth proportional to 5,686.84, 7,846.90 and 3,168.38 is: 4,371.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.84 : 7,846.90 = 3,168.38 : x
  2. Step 2: Convert to fraction form
    5,686.84/7,846.90 = 3,168.38/x
  3. Step 3: Cross multiply
    5,686.84x = 7,846.90 × 3,168.38
  4. Step 4: Simplify right side
    5,686.84x = 24,861,961.02
  5. Step 5: Solve for x
    x = 24,861,961.02/5,686.84
  6. Step 6: Final answer
    x = 4,371.84

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Why These Related Problems?

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