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Finding the Fourth Proportional to 5,024.74, 6,934 and 2,786.56

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Solution

The fourth proportional to 5,024.74, 6,934 and 2,786.56 is: 3,845.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,024.74 : 6,934 = 2,786.56 : x
  2. Step 2: Convert to fraction form
    5,024.74/6,934 = 2,786.56/x
  3. Step 3: Cross multiply
    5,024.74x = 6,934 × 2,786.56
  4. Step 4: Simplify right side
    5,024.74x = 19,322,007.04
  5. Step 5: Solve for x
    x = 19,322,007.04/5,024.74
  6. Step 6: Final answer
    x = 3,845.37

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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.