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Finding the Fourth Proportional to 6,349.71, 8,758.49 and 4,361.34

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Solution

The fourth proportional to 6,349.71, 8,758.49 and 4,361.34 is: 6,015.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.71 : 8,758.49 = 4,361.34 : x
  2. Step 2: Convert to fraction form
    6,349.71/8,758.49 = 4,361.34/x
  3. Step 3: Cross multiply
    6,349.71x = 8,758.49 × 4,361.34
  4. Step 4: Simplify right side
    6,349.71x = 38,198,730.97
  5. Step 5: Solve for x
    x = 38,198,730.97/6,349.71
  6. Step 6: Final answer
    x = 6,015.82

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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.