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Finding the Fourth Proportional to 4,229.97, 6,347.77 and 1,889.19

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Solution

The fourth proportional to 4,229.97, 6,347.77 and 1,889.19 is: 2,835.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.97 : 6,347.77 = 1,889.19 : x
  2. Step 2: Convert to fraction form
    4,229.97/6,347.77 = 1,889.19/x
  3. Step 3: Cross multiply
    4,229.97x = 6,347.77 × 1,889.19
  4. Step 4: Simplify right side
    4,229.97x = 11,992,152.27
  5. Step 5: Solve for x
    x = 11,992,152.27/4,229.97
  6. Step 6: Final answer
    x = 2,835.05

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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.