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Finding the Fourth Proportional to 6,349, 8,761.62 and 3,865

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Solution

The fourth proportional to 6,349, 8,761.62 and 3,865 is: 5,333.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349 : 8,761.62 = 3,865 : x
  2. Step 2: Convert to fraction form
    6,349/8,761.62 = 3,865/x
  3. Step 3: Cross multiply
    6,349x = 8,761.62 × 3,865
  4. Step 4: Simplify right side
    6,349x = 33,863,661.30
  5. Step 5: Solve for x
    x = 33,863,661.30/6,349
  6. Step 6: Final answer
    x = 5,333.70

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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.