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Finding the Fourth Proportional to 2,855.16, 3,936.32 and 2,563.56

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Solution

The fourth proportional to 2,855.16, 3,936.32 and 2,563.56 is: 3,534.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.16 : 3,936.32 = 2,563.56 : x
  2. Step 2: Convert to fraction form
    2,855.16/3,936.32 = 2,563.56/x
  3. Step 3: Cross multiply
    2,855.16x = 3,936.32 × 2,563.56
  4. Step 4: Simplify right side
    2,855.16x = 10,090,992.50
  5. Step 5: Solve for x
    x = 10,090,992.50/2,855.16
  6. Step 6: Final answer
    x = 3,534.30

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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.