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Finding the Fourth Proportional to 6,288, 8,677.68 and 3,493.44

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Solution

The fourth proportional to 6,288, 8,677.68 and 3,493.44 is: 4,821.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,288 : 8,677.68 = 3,493.44 : x
  2. Step 2: Convert to fraction form
    6,288/8,677.68 = 3,493.44/x
  3. Step 3: Cross multiply
    6,288x = 8,677.68 × 3,493.44
  4. Step 4: Simplify right side
    6,288x = 30,314,954.42
  5. Step 5: Solve for x
    x = 30,314,954.42/6,288
  6. Step 6: Final answer
    x = 4,821.08

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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.