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Finding the Fourth Proportional to 4,947.39, 7,406.67 and 2,601.83

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Solution

The fourth proportional to 4,947.39, 7,406.67 and 2,601.83 is: 3,895.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.39 : 7,406.67 = 2,601.83 : x
  2. Step 2: Convert to fraction form
    4,947.39/7,406.67 = 2,601.83/x
  3. Step 3: Cross multiply
    4,947.39x = 7,406.67 × 2,601.83
  4. Step 4: Simplify right side
    4,947.39x = 19,270,896.21
  5. Step 5: Solve for x
    x = 19,270,896.21/4,947.39
  6. Step 6: Final answer
    x = 3,895.16

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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.