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Finding the Fourth Proportional to 4,909.85, 6,777.51 and 3,142.43

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Solution

The fourth proportional to 4,909.85, 6,777.51 and 3,142.43 is: 4,337.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909.85 : 6,777.51 = 3,142.43 : x
  2. Step 2: Convert to fraction form
    4,909.85/6,777.51 = 3,142.43/x
  3. Step 3: Cross multiply
    4,909.85x = 6,777.51 × 3,142.43
  4. Step 4: Simplify right side
    4,909.85x = 21,297,850.75
  5. Step 5: Solve for x
    x = 21,297,850.75/4,909.85
  6. Step 6: Final answer
    x = 4,337.78

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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.