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Finding the Fourth Proportional to 3,489.20, 4,813.64 and 3,047.12

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Solution

The fourth proportional to 3,489.20, 4,813.64 and 3,047.12 is: 4,203.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.20 : 4,813.64 = 3,047.12 : x
  2. Step 2: Convert to fraction form
    3,489.20/4,813.64 = 3,047.12/x
  3. Step 3: Cross multiply
    3,489.20x = 4,813.64 × 3,047.12
  4. Step 4: Simplify right side
    3,489.20x = 14,667,738.72
  5. Step 5: Solve for x
    x = 14,667,738.72/3,489.20
  6. Step 6: Final answer
    x = 4,203.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.