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Finding the Fourth Proportional to 3,443.75, 4,753.50 and 2,027.42

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Solution

The fourth proportional to 3,443.75, 4,753.50 and 2,027.42 is: 2,798.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443.75 : 4,753.50 = 2,027.42 : x
  2. Step 2: Convert to fraction form
    3,443.75/4,753.50 = 2,027.42/x
  3. Step 3: Cross multiply
    3,443.75x = 4,753.50 × 2,027.42
  4. Step 4: Simplify right side
    3,443.75x = 9,637,340.97
  5. Step 5: Solve for x
    x = 9,637,340.97/3,443.75
  6. Step 6: Final answer
    x = 2,798.50

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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.