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Finding the Fourth Proportional to 3,027.52, 4,533.12 and 2,101.12

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Solution

The fourth proportional to 3,027.52, 4,533.12 and 2,101.12 is: 3,146.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.52 : 4,533.12 = 2,101.12 : x
  2. Step 2: Convert to fraction form
    3,027.52/4,533.12 = 2,101.12/x
  3. Step 3: Cross multiply
    3,027.52x = 4,533.12 × 2,101.12
  4. Step 4: Simplify right side
    3,027.52x = 9,524,629.09
  5. Step 5: Solve for x
    x = 9,524,629.09/3,027.52
  6. Step 6: Final answer
    x = 3,146.02

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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.