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Finding the Fourth Proportional to 6,314.40, 8,719.38 and 3,960.60

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Solution

The fourth proportional to 6,314.40, 8,719.38 and 3,960.60 is: 5,469.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.40 : 8,719.38 = 3,960.60 : x
  2. Step 2: Convert to fraction form
    6,314.40/8,719.38 = 3,960.60/x
  3. Step 3: Cross multiply
    6,314.40x = 8,719.38 × 3,960.60
  4. Step 4: Simplify right side
    6,314.40x = 34,533,976.43
  5. Step 5: Solve for x
    x = 34,533,976.43/6,314.40
  6. Step 6: Final answer
    x = 5,469.08

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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.