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Finding the Fourth Proportional to 4,568.74, 6,836.11 and 4,010.82

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Solution

The fourth proportional to 4,568.74, 6,836.11 and 4,010.82 is: 6,001.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,568.74 : 6,836.11 = 4,010.82 : x
  2. Step 2: Convert to fraction form
    4,568.74/6,836.11 = 4,010.82/x
  3. Step 3: Cross multiply
    4,568.74x = 6,836.11 × 4,010.82
  4. Step 4: Simplify right side
    4,568.74x = 27,418,371.05
  5. Step 5: Solve for x
    x = 27,418,371.05/4,568.74
  6. Step 6: Final answer
    x = 6,001.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.