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Finding the Fourth Proportional to 5,310.76, 7,964.54 and 2,536

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Solution

The fourth proportional to 5,310.76, 7,964.54 and 2,536 is: 3,803.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,310.76 : 7,964.54 = 2,536 : x
  2. Step 2: Convert to fraction form
    5,310.76/7,964.54 = 2,536/x
  3. Step 3: Cross multiply
    5,310.76x = 7,964.54 × 2,536
  4. Step 4: Simplify right side
    5,310.76x = 20,198,073.44
  5. Step 5: Solve for x
    x = 20,198,073.44/5,310.76
  6. Step 6: Final answer
    x = 3,803.24

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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.