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Finding the Fourth Proportional to 4,216.69, 6,324.90 and 1,908.19

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Solution

The fourth proportional to 4,216.69, 6,324.90 and 1,908.19 is: 2,862.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,216.69 : 6,324.90 = 1,908.19 : x
  2. Step 2: Convert to fraction form
    4,216.69/6,324.90 = 1,908.19/x
  3. Step 3: Cross multiply
    4,216.69x = 6,324.90 × 1,908.19
  4. Step 4: Simplify right side
    4,216.69x = 12,069,110.93
  5. Step 5: Solve for x
    x = 12,069,110.93/4,216.69
  6. Step 6: Final answer
    x = 2,862.22

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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.