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Finding the Fourth Proportional to 5,022.14, 6,930.95 and 2,784.20

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Solution

The fourth proportional to 5,022.14, 6,930.95 and 2,784.20 is: 3,842.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,022.14 : 6,930.95 = 2,784.20 : x
  2. Step 2: Convert to fraction form
    5,022.14/6,930.95 = 2,784.20/x
  3. Step 3: Cross multiply
    5,022.14x = 6,930.95 × 2,784.20
  4. Step 4: Simplify right side
    5,022.14x = 19,297,102.41
  5. Step 5: Solve for x
    x = 19,297,102.41/5,022.14
  6. Step 6: Final answer
    x = 3,842.41

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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.