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Finding the Fourth Proportional to 4,738.60, 7,107.90 and 4,706.20

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Solution

The fourth proportional to 4,738.60, 7,107.90 and 4,706.20 is: 7,059.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.60 : 7,107.90 = 4,706.20 : x
  2. Step 2: Convert to fraction form
    4,738.60/7,107.90 = 4,706.20/x
  3. Step 3: Cross multiply
    4,738.60x = 7,107.90 × 4,706.20
  4. Step 4: Simplify right side
    4,738.60x = 33,451,198.98
  5. Step 5: Solve for x
    x = 33,451,198.98/4,738.60
  6. Step 6: Final answer
    x = 7,059.30

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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.