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Finding the Fourth Proportional to 5,811.38, 8,019.74 and 3,158.78

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Solution

The fourth proportional to 5,811.38, 8,019.74 and 3,158.78 is: 4,359.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.38 : 8,019.74 = 3,158.78 : x
  2. Step 2: Convert to fraction form
    5,811.38/8,019.74 = 3,158.78/x
  3. Step 3: Cross multiply
    5,811.38x = 8,019.74 × 3,158.78
  4. Step 4: Simplify right side
    5,811.38x = 25,332,594.32
  5. Step 5: Solve for x
    x = 25,332,594.32/5,811.38
  6. Step 6: Final answer
    x = 4,359.14

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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.