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Finding the Fourth Proportional to 4,906.19, 6,769.04 and 2,781.38

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Solution

The fourth proportional to 4,906.19, 6,769.04 and 2,781.38 is: 3,837.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.19 : 6,769.04 = 2,781.38 : x
  2. Step 2: Convert to fraction form
    4,906.19/6,769.04 = 2,781.38/x
  3. Step 3: Cross multiply
    4,906.19x = 6,769.04 × 2,781.38
  4. Step 4: Simplify right side
    4,906.19x = 18,827,272.48
  5. Step 5: Solve for x
    x = 18,827,272.48/4,906.19
  6. Step 6: Final answer
    x = 3,837.45

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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.