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Finding the Fourth Proportional to 3,767.95, 5,200.27 and 2,353.08

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Solution

The fourth proportional to 3,767.95, 5,200.27 and 2,353.08 is: 3,247.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.95 : 5,200.27 = 2,353.08 : x
  2. Step 2: Convert to fraction form
    3,767.95/5,200.27 = 2,353.08/x
  3. Step 3: Cross multiply
    3,767.95x = 5,200.27 × 2,353.08
  4. Step 4: Simplify right side
    3,767.95x = 12,236,664.95
  5. Step 5: Solve for x
    x = 12,236,664.95/3,767.95
  6. Step 6: Final answer
    x = 3,247.56

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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.