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Finding the Fourth Proportional to 6,230.30, 8,597.49 and 3,872.39

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Solution

The fourth proportional to 6,230.30, 8,597.49 and 3,872.39 is: 5,343.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,230.30 : 8,597.49 = 3,872.39 : x
  2. Step 2: Convert to fraction form
    6,230.30/8,597.49 = 3,872.39/x
  3. Step 3: Cross multiply
    6,230.30x = 8,597.49 × 3,872.39
  4. Step 4: Simplify right side
    6,230.30x = 33,292,834.30
  5. Step 5: Solve for x
    x = 33,292,834.30/6,230.30
  6. Step 6: Final answer
    x = 5,343.70

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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.