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Finding the Fourth Proportional to 3,936.51, 5,432.16 and 2,257.56

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Solution

The fourth proportional to 3,936.51, 5,432.16 and 2,257.56 is: 3,115.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,936.51 : 5,432.16 = 2,257.56 : x
  2. Step 2: Convert to fraction form
    3,936.51/5,432.16 = 2,257.56/x
  3. Step 3: Cross multiply
    3,936.51x = 5,432.16 × 2,257.56
  4. Step 4: Simplify right side
    3,936.51x = 12,263,427.13
  5. Step 5: Solve for x
    x = 12,263,427.13/3,936.51
  6. Step 6: Final answer
    x = 3,115.30

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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.