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Finding the Fourth Proportional to 4,847.70, 6,690.90 and 3,078.97

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Solution

The fourth proportional to 4,847.70, 6,690.90 and 3,078.97 is: 4,249.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847.70 : 6,690.90 = 3,078.97 : x
  2. Step 2: Convert to fraction form
    4,847.70/6,690.90 = 3,078.97/x
  3. Step 3: Cross multiply
    4,847.70x = 6,690.90 × 3,078.97
  4. Step 4: Simplify right side
    4,847.70x = 20,601,080.37
  5. Step 5: Solve for x
    x = 20,601,080.37/4,847.70
  6. Step 6: Final answer
    x = 4,249.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.