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Finding the Fourth Proportional to 4,899.81, 6,761.87 and 2,661.82

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Solution

The fourth proportional to 4,899.81, 6,761.87 and 2,661.82 is: 3,673.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,899.81 : 6,761.87 = 2,661.82 : x
  2. Step 2: Convert to fraction form
    4,899.81/6,761.87 = 2,661.82/x
  3. Step 3: Cross multiply
    4,899.81x = 6,761.87 × 2,661.82
  4. Step 4: Simplify right side
    4,899.81x = 17,998,860.57
  5. Step 5: Solve for x
    x = 17,998,860.57/4,899.81
  6. Step 6: Final answer
    x = 3,673.38

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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.