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Finding the Fourth Proportional to 4,947.40, 7,425.96 and 3,766.42

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Solution

The fourth proportional to 4,947.40, 7,425.96 and 3,766.42 is: 5,653.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.40 : 7,425.96 = 3,766.42 : x
  2. Step 2: Convert to fraction form
    4,947.40/7,425.96 = 3,766.42/x
  3. Step 3: Cross multiply
    4,947.40x = 7,425.96 × 3,766.42
  4. Step 4: Simplify right side
    4,947.40x = 27,969,284.26
  5. Step 5: Solve for x
    x = 27,969,284.26/4,947.40
  6. Step 6: Final answer
    x = 5,653.33

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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.