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Finding the Fourth Proportional to 6,229.24, 8,592.78 and 3,743.80

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Solution

The fourth proportional to 6,229.24, 8,592.78 and 3,743.80 is: 5,164.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,229.24 : 8,592.78 = 3,743.80 : x
  2. Step 2: Convert to fraction form
    6,229.24/8,592.78 = 3,743.80/x
  3. Step 3: Cross multiply
    6,229.24x = 8,592.78 × 3,743.80
  4. Step 4: Simplify right side
    6,229.24x = 32,169,649.76
  5. Step 5: Solve for x
    x = 32,169,649.76/6,229.24
  6. Step 6: Final answer
    x = 5,164.30

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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.