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Finding the Fourth Proportional to 4,946.62, 7,414.46 and 3,300.90

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Solution

The fourth proportional to 4,946.62, 7,414.46 and 3,300.90 is: 4,947.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.62 : 7,414.46 = 3,300.90 : x
  2. Step 2: Convert to fraction form
    4,946.62/7,414.46 = 3,300.90/x
  3. Step 3: Cross multiply
    4,946.62x = 7,414.46 × 3,300.90
  4. Step 4: Simplify right side
    4,946.62x = 24,474,391.01
  5. Step 5: Solve for x
    x = 24,474,391.01/4,946.62
  6. Step 6: Final answer
    x = 4,947.70

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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.