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Finding the Fourth Proportional to 3,447.96, 5,169.50 and 1,781.36

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Solution

The fourth proportional to 3,447.96, 5,169.50 and 1,781.36 is: 2,670.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.96 : 5,169.50 = 1,781.36 : x
  2. Step 2: Convert to fraction form
    3,447.96/5,169.50 = 1,781.36/x
  3. Step 3: Cross multiply
    3,447.96x = 5,169.50 × 1,781.36
  4. Step 4: Simplify right side
    3,447.96x = 9,208,740.52
  5. Step 5: Solve for x
    x = 9,208,740.52/3,447.96
  6. Step 6: Final answer
    x = 2,670.78

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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.