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Finding the Fourth Proportional to 3,047.72, 4,572.32 and 1,198.36

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Solution

The fourth proportional to 3,047.72, 4,572.32 and 1,198.36 is: 1,797.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.72 : 4,572.32 = 1,198.36 : x
  2. Step 2: Convert to fraction form
    3,047.72/4,572.32 = 1,198.36/x
  3. Step 3: Cross multiply
    3,047.72x = 4,572.32 × 1,198.36
  4. Step 4: Simplify right side
    3,047.72x = 5,479,285.40
  5. Step 5: Solve for x
    x = 5,479,285.40/3,047.72
  6. Step 6: Final answer
    x = 1,797.83

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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.