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Finding the Fourth Proportional to 3,858, 5,324.07 and 2,089.62

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Solution

The fourth proportional to 3,858, 5,324.07 and 2,089.62 is: 2,883.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858 : 5,324.07 = 2,089.62 : x
  2. Step 2: Convert to fraction form
    3,858/5,324.07 = 2,089.62/x
  3. Step 3: Cross multiply
    3,858x = 5,324.07 × 2,089.62
  4. Step 4: Simplify right side
    3,858x = 11,125,283.15
  5. Step 5: Solve for x
    x = 11,125,283.15/3,858
  6. Step 6: Final answer
    x = 2,883.69

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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.