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Finding the Fourth Proportional to 4,216.14, 6,310.44 and 3,169.62

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Solution

The fourth proportional to 4,216.14, 6,310.44 and 3,169.62 is: 4,744.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,216.14 : 6,310.44 = 3,169.62 : x
  2. Step 2: Convert to fraction form
    4,216.14/6,310.44 = 3,169.62/x
  3. Step 3: Cross multiply
    4,216.14x = 6,310.44 × 3,169.62
  4. Step 4: Simplify right side
    4,216.14x = 20,001,696.83
  5. Step 5: Solve for x
    x = 20,001,696.83/4,216.14
  6. Step 6: Final answer
    x = 4,744.08

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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.