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Finding the Fourth Proportional to 4,909.50, 6,777.26 and 3,416.88

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Solution

The fourth proportional to 4,909.50, 6,777.26 and 3,416.88 is: 4,716.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909.50 : 6,777.26 = 3,416.88 : x
  2. Step 2: Convert to fraction form
    4,909.50/6,777.26 = 3,416.88/x
  3. Step 3: Cross multiply
    4,909.50x = 6,777.26 × 3,416.88
  4. Step 4: Simplify right side
    4,909.50x = 23,157,067.06
  5. Step 5: Solve for x
    x = 23,157,067.06/4,909.50
  6. Step 6: Final answer
    x = 4,716.79

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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.