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Finding the Fourth Proportional to 5,249.24, 7,244.88 and 3,153.50

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Solution

The fourth proportional to 5,249.24, 7,244.88 and 3,153.50 is: 4,352.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,249.24 : 7,244.88 = 3,153.50 : x
  2. Step 2: Convert to fraction form
    5,249.24/7,244.88 = 3,153.50/x
  3. Step 3: Cross multiply
    5,249.24x = 7,244.88 × 3,153.50
  4. Step 4: Simplify right side
    5,249.24x = 22,846,729.08
  5. Step 5: Solve for x
    x = 22,846,729.08/5,249.24
  6. Step 6: Final answer
    x = 4,352.39

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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.