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Finding the Fourth Proportional to 6,257.45, 8,631.95 and 3,868.76

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Solution

The fourth proportional to 6,257.45, 8,631.95 and 3,868.76 is: 5,336.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.45 : 8,631.95 = 3,868.76 : x
  2. Step 2: Convert to fraction form
    6,257.45/8,631.95 = 3,868.76/x
  3. Step 3: Cross multiply
    6,257.45x = 8,631.95 × 3,868.76
  4. Step 4: Simplify right side
    6,257.45x = 33,394,880.38
  5. Step 5: Solve for x
    x = 33,394,880.38/6,257.45
  6. Step 6: Final answer
    x = 5,336.82

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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.