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Finding the Fourth Proportional to 5,022.27, 6,930.06 and 2,784.03

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Solution

The fourth proportional to 5,022.27, 6,930.06 and 2,784.03 is: 3,841.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,022.27 : 6,930.06 = 2,784.03 : x
  2. Step 2: Convert to fraction form
    5,022.27/6,930.06 = 2,784.03/x
  3. Step 3: Cross multiply
    5,022.27x = 6,930.06 × 2,784.03
  4. Step 4: Simplify right side
    5,022.27x = 19,293,494.94
  5. Step 5: Solve for x
    x = 19,293,494.94/5,022.27
  6. Step 6: Final answer
    x = 3,841.59

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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.