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Finding the Fourth Proportional to 3,249.82, 4,875.20 and 1,027.90

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Solution

The fourth proportional to 3,249.82, 4,875.20 and 1,027.90 is: 1,542.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,249.82 : 4,875.20 = 1,027.90 : x
  2. Step 2: Convert to fraction form
    3,249.82/4,875.20 = 1,027.90/x
  3. Step 3: Cross multiply
    3,249.82x = 4,875.20 × 1,027.90
  4. Step 4: Simplify right side
    3,249.82x = 5,011,212.94
  5. Step 5: Solve for x
    x = 5,011,212.94/3,249.82
  6. Step 6: Final answer
    x = 1,542.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.