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Finding the Fourth Proportional to 5,318.26, 7,965.24 and 2,546.88

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Solution

The fourth proportional to 5,318.26, 7,965.24 and 2,546.88 is: 3,814.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,318.26 : 7,965.24 = 2,546.88 : x
  2. Step 2: Convert to fraction form
    5,318.26/7,965.24 = 2,546.88/x
  3. Step 3: Cross multiply
    5,318.26x = 7,965.24 × 2,546.88
  4. Step 4: Simplify right side
    5,318.26x = 20,286,510.45
  5. Step 5: Solve for x
    x = 20,286,510.45/5,318.26
  6. Step 6: Final answer
    x = 3,814.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.