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Finding the Fourth Proportional to 5,268, 7,861.14 and 4,568.16

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Solution

The fourth proportional to 5,268, 7,861.14 and 4,568.16 is: 6,816.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,268 : 7,861.14 = 4,568.16 : x
  2. Step 2: Convert to fraction form
    5,268/7,861.14 = 4,568.16/x
  3. Step 3: Cross multiply
    5,268x = 7,861.14 × 4,568.16
  4. Step 4: Simplify right side
    5,268x = 35,910,945.30
  5. Step 5: Solve for x
    x = 35,910,945.30/5,268
  6. Step 6: Final answer
    x = 6,816.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.