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Finding the Fourth Proportional to 6,249.32, 8,625 and 3,596.12

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Solution

The fourth proportional to 6,249.32, 8,625 and 3,596.12 is: 4,963.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,249.32 : 8,625 = 3,596.12 : x
  2. Step 2: Convert to fraction form
    6,249.32/8,625 = 3,596.12/x
  3. Step 3: Cross multiply
    6,249.32x = 8,625 × 3,596.12
  4. Step 4: Simplify right side
    6,249.32x = 31,016,535
  5. Step 5: Solve for x
    x = 31,016,535/6,249.32
  6. Step 6: Final answer
    x = 4,963.19

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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.