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Finding the Fourth Proportional to 3,849.71, 5,312.62 and 2,081.33

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Solution

The fourth proportional to 3,849.71, 5,312.62 and 2,081.33 is: 2,872.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.71 : 5,312.62 = 2,081.33 : x
  2. Step 2: Convert to fraction form
    3,849.71/5,312.62 = 2,081.33/x
  3. Step 3: Cross multiply
    3,849.71x = 5,312.62 × 2,081.33
  4. Step 4: Simplify right side
    3,849.71x = 11,057,315.38
  5. Step 5: Solve for x
    x = 11,057,315.38/3,849.71
  6. Step 6: Final answer
    x = 2,872.25

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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.