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Finding the Fourth Proportional to 4,942.90, 7,406.15 and 3,478.98

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Solution

The fourth proportional to 4,942.90, 7,406.15 and 3,478.98 is: 5,212.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942.90 : 7,406.15 = 3,478.98 : x
  2. Step 2: Convert to fraction form
    4,942.90/7,406.15 = 3,478.98/x
  3. Step 3: Cross multiply
    4,942.90x = 7,406.15 × 3,478.98
  4. Step 4: Simplify right side
    4,942.90x = 25,765,847.73
  5. Step 5: Solve for x
    x = 25,765,847.73/4,942.90
  6. Step 6: Final answer
    x = 5,212.70

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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.