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Finding the Fourth Proportional to 2,855.52, 3,939.30 and 2,224.98

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Solution

The fourth proportional to 2,855.52, 3,939.30 and 2,224.98 is: 3,069.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.52 : 3,939.30 = 2,224.98 : x
  2. Step 2: Convert to fraction form
    2,855.52/3,939.30 = 2,224.98/x
  3. Step 3: Cross multiply
    2,855.52x = 3,939.30 × 2,224.98
  4. Step 4: Simplify right side
    2,855.52x = 8,764,863.71
  5. Step 5: Solve for x
    x = 8,764,863.71/2,855.52
  6. Step 6: Final answer
    x = 3,069.45

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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.