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Finding the Fourth Proportional to 4,639.20, 6,958.80 and 4,201.80

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Solution

The fourth proportional to 4,639.20, 6,958.80 and 4,201.80 is: 6,302.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,639.20 : 6,958.80 = 4,201.80 : x
  2. Step 2: Convert to fraction form
    4,639.20/6,958.80 = 4,201.80/x
  3. Step 3: Cross multiply
    4,639.20x = 6,958.80 × 4,201.80
  4. Step 4: Simplify right side
    4,639.20x = 29,239,485.84
  5. Step 5: Solve for x
    x = 29,239,485.84/4,639.20
  6. Step 6: Final answer
    x = 6,302.70

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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.