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Finding the Fourth Proportional to 5,019.87, 6,927.42 and 2,781.74

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Solution

The fourth proportional to 5,019.87, 6,927.42 and 2,781.74 is: 3,838.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,019.87 : 6,927.42 = 2,781.74 : x
  2. Step 2: Convert to fraction form
    5,019.87/6,927.42 = 2,781.74/x
  3. Step 3: Cross multiply
    5,019.87x = 6,927.42 × 2,781.74
  4. Step 4: Simplify right side
    5,019.87x = 19,270,309.06
  5. Step 5: Solve for x
    x = 19,270,309.06/5,019.87
  6. Step 6: Final answer
    x = 3,838.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.