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Finding the Fourth Proportional to 5,019.43, 6,926.81 and 2,781.44

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Solution

The fourth proportional to 5,019.43, 6,926.81 and 2,781.44 is: 3,838.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,019.43 : 6,926.81 = 2,781.44 : x
  2. Step 2: Convert to fraction form
    5,019.43/6,926.81 = 2,781.44/x
  3. Step 3: Cross multiply
    5,019.43x = 6,926.81 × 2,781.44
  4. Step 4: Simplify right side
    5,019.43x = 19,266,509.82
  5. Step 5: Solve for x
    x = 19,266,509.82/5,019.43
  6. Step 6: Final answer
    x = 3,838.39

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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.