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Finding the Fourth Proportional to 6,325.24, 8,728.12 and 3,672.24

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Solution

The fourth proportional to 6,325.24, 8,728.12 and 3,672.24 is: 5,067.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,325.24 : 8,728.12 = 3,672.24 : x
  2. Step 2: Convert to fraction form
    6,325.24/8,728.12 = 3,672.24/x
  3. Step 3: Cross multiply
    6,325.24x = 8,728.12 × 3,672.24
  4. Step 4: Simplify right side
    6,325.24x = 32,051,751.39
  5. Step 5: Solve for x
    x = 32,051,751.39/6,325.24
  6. Step 6: Final answer
    x = 5,067.28

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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.