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Finding the Fourth Proportional to 3,047.34, 4,572.18 and 1,198.12

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Solution

The fourth proportional to 3,047.34, 4,572.18 and 1,198.12 is: 1,797.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.34 : 4,572.18 = 1,198.12 : x
  2. Step 2: Convert to fraction form
    3,047.34/4,572.18 = 1,198.12/x
  3. Step 3: Cross multiply
    3,047.34x = 4,572.18 × 1,198.12
  4. Step 4: Simplify right side
    3,047.34x = 5,478,020.30
  5. Step 5: Solve for x
    x = 5,478,020.30/3,047.34
  6. Step 6: Final answer
    x = 1,797.64

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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.