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Finding the Fourth Proportional to 5,022.53, 6,930.44 and 2,784.09

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Solution

The fourth proportional to 5,022.53, 6,930.44 and 2,784.09 is: 3,841.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,022.53 : 6,930.44 = 2,784.09 : x
  2. Step 2: Convert to fraction form
    5,022.53/6,930.44 = 2,784.09/x
  3. Step 3: Cross multiply
    5,022.53x = 6,930.44 × 2,784.09
  4. Step 4: Simplify right side
    5,022.53x = 19,294,954.78
  5. Step 5: Solve for x
    x = 19,294,954.78/5,022.53
  6. Step 6: Final answer
    x = 3,841.68

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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.