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Finding the Fourth Proportional to 4,468.56, 6,169.62 and 3,994.93

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Solution

The fourth proportional to 4,468.56, 6,169.62 and 3,994.93 is: 5,515.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,468.56 : 6,169.62 = 3,994.93 : x
  2. Step 2: Convert to fraction form
    4,468.56/6,169.62 = 3,994.93/x
  3. Step 3: Cross multiply
    4,468.56x = 6,169.62 × 3,994.93
  4. Step 4: Simplify right side
    4,468.56x = 24,647,200.03
  5. Step 5: Solve for x
    x = 24,647,200.03/4,468.56
  6. Step 6: Final answer
    x = 5,515.69

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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.