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Finding the Fourth Proportional to 3,910.79, 5,866.22 and 989.09

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Solution

The fourth proportional to 3,910.79, 5,866.22 and 989.09 is: 1,483.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,910.79 : 5,866.22 = 989.09 : x
  2. Step 2: Convert to fraction form
    3,910.79/5,866.22 = 989.09/x
  3. Step 3: Cross multiply
    3,910.79x = 5,866.22 × 989.09
  4. Step 4: Simplify right side
    3,910.79x = 5,802,229.26
  5. Step 5: Solve for x
    x = 5,802,229.26/3,910.79
  6. Step 6: Final answer
    x = 1,483.65

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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.