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Finding the Fourth Proportional to 5,067.84, 6,994 and 2,943.96

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Solution

The fourth proportional to 5,067.84, 6,994 and 2,943.96 is: 4,062.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,067.84 : 6,994 = 2,943.96 : x
  2. Step 2: Convert to fraction form
    5,067.84/6,994 = 2,943.96/x
  3. Step 3: Cross multiply
    5,067.84x = 6,994 × 2,943.96
  4. Step 4: Simplify right side
    5,067.84x = 20,590,056.24
  5. Step 5: Solve for x
    x = 20,590,056.24/5,067.84
  6. Step 6: Final answer
    x = 4,062.89

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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.