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Finding the Fourth Proportional to 5,019.85, 6,927.41 and 2,781.76

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Solution

The fourth proportional to 5,019.85, 6,927.41 and 2,781.76 is: 3,838.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,019.85 : 6,927.41 = 2,781.76 : x
  2. Step 2: Convert to fraction form
    5,019.85/6,927.41 = 2,781.76/x
  3. Step 3: Cross multiply
    5,019.85x = 6,927.41 × 2,781.76
  4. Step 4: Simplify right side
    5,019.85x = 19,270,396.57
  5. Step 5: Solve for x
    x = 19,270,396.57/5,019.85
  6. Step 6: Final answer
    x = 3,838.84

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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.