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Finding the Fourth Proportional to 5,024.69, 6,934.07 and 2,786.91

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Solution

The fourth proportional to 5,024.69, 6,934.07 and 2,786.91 is: 3,845.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,024.69 : 6,934.07 = 2,786.91 : x
  2. Step 2: Convert to fraction form
    5,024.69/6,934.07 = 2,786.91/x
  3. Step 3: Cross multiply
    5,024.69x = 6,934.07 × 2,786.91
  4. Step 4: Simplify right side
    5,024.69x = 19,324,629.02
  5. Step 5: Solve for x
    x = 19,324,629.02/5,024.69
  6. Step 6: Final answer
    x = 3,845.93

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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.