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Finding the Fourth Proportional to 3,872.29, 5,340.99 and 3,554.29

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Solution

The fourth proportional to 3,872.29, 5,340.99 and 3,554.29 is: 4,902.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.29 : 5,340.99 = 3,554.29 : x
  2. Step 2: Convert to fraction form
    3,872.29/5,340.99 = 3,554.29/x
  3. Step 3: Cross multiply
    3,872.29x = 5,340.99 × 3,554.29
  4. Step 4: Simplify right side
    3,872.29x = 18,983,412.34
  5. Step 5: Solve for x
    x = 18,983,412.34/3,872.29
  6. Step 6: Final answer
    x = 4,902.37

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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.