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Finding the Fourth Proportional to 4,909.80, 6,776.12 and 2,814.60

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Solution

The fourth proportional to 4,909.80, 6,776.12 and 2,814.60 is: 3,884.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909.80 : 6,776.12 = 2,814.60 : x
  2. Step 2: Convert to fraction form
    4,909.80/6,776.12 = 2,814.60/x
  3. Step 3: Cross multiply
    4,909.80x = 6,776.12 × 2,814.60
  4. Step 4: Simplify right side
    4,909.80x = 19,072,067.35
  5. Step 5: Solve for x
    x = 19,072,067.35/4,909.80
  6. Step 6: Final answer
    x = 3,884.49

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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.