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Finding the Fourth Proportional to 3,910, 5,866.44 and 2,061.04

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Solution

The fourth proportional to 3,910, 5,866.44 and 2,061.04 is: 3,092.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,910 : 5,866.44 = 2,061.04 : x
  2. Step 2: Convert to fraction form
    3,910/5,866.44 = 2,061.04/x
  3. Step 3: Cross multiply
    3,910x = 5,866.44 × 2,061.04
  4. Step 4: Simplify right side
    3,910x = 12,090,967.50
  5. Step 5: Solve for x
    x = 12,090,967.50/3,910
  6. Step 6: Final answer
    x = 3,092.32

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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.