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Finding the Fourth Proportional to 5,022.35, 6,930.11 and 2,784.22

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Solution

The fourth proportional to 5,022.35, 6,930.11 and 2,784.22 is: 3,841.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,022.35 : 6,930.11 = 2,784.22 : x
  2. Step 2: Convert to fraction form
    5,022.35/6,930.11 = 2,784.22/x
  3. Step 3: Cross multiply
    5,022.35x = 6,930.11 × 2,784.22
  4. Step 4: Simplify right side
    5,022.35x = 19,294,936.94
  5. Step 5: Solve for x
    x = 19,294,936.94/5,022.35
  6. Step 6: Final answer
    x = 3,841.82

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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.