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Finding the Fourth Proportional to 4,517.87, 6,778.03 and 1,884.51

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Solution

The fourth proportional to 4,517.87, 6,778.03 and 1,884.51 is: 2,827.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,517.87 : 6,778.03 = 1,884.51 : x
  2. Step 2: Convert to fraction form
    4,517.87/6,778.03 = 1,884.51/x
  3. Step 3: Cross multiply
    4,517.87x = 6,778.03 × 1,884.51
  4. Step 4: Simplify right side
    4,517.87x = 12,773,231.43
  5. Step 5: Solve for x
    x = 12,773,231.43/4,517.87
  6. Step 6: Final answer
    x = 2,827.27

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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.