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Finding the Fourth Proportional to 3,027.12, 4,542.12 and 1,296.24

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Solution

The fourth proportional to 3,027.12, 4,542.12 and 1,296.24 is: 1,944.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.12 : 4,542.12 = 1,296.24 : x
  2. Step 2: Convert to fraction form
    3,027.12/4,542.12 = 1,296.24/x
  3. Step 3: Cross multiply
    3,027.12x = 4,542.12 × 1,296.24
  4. Step 4: Simplify right side
    3,027.12x = 5,887,677.63
  5. Step 5: Solve for x
    x = 5,887,677.63/3,027.12
  6. Step 6: Final answer
    x = 1,944.98

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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.