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Finding the Fourth Proportional to 6,349.69, 8,761.89 and 3,516.76

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Solution

The fourth proportional to 6,349.69, 8,761.89 and 3,516.76 is: 4,852.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.69 : 8,761.89 = 3,516.76 : x
  2. Step 2: Convert to fraction form
    6,349.69/8,761.89 = 3,516.76/x
  3. Step 3: Cross multiply
    6,349.69x = 8,761.89 × 3,516.76
  4. Step 4: Simplify right side
    6,349.69x = 30,813,464.28
  5. Step 5: Solve for x
    x = 30,813,464.28/6,349.69
  6. Step 6: Final answer
    x = 4,852.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.