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Finding the Fourth Proportional to 4,229.76, 5,836.98 and 2,341.24

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Solution

The fourth proportional to 4,229.76, 5,836.98 and 2,341.24 is: 3,230.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.76 : 5,836.98 = 2,341.24 : x
  2. Step 2: Convert to fraction form
    4,229.76/5,836.98 = 2,341.24/x
  3. Step 3: Cross multiply
    4,229.76x = 5,836.98 × 2,341.24
  4. Step 4: Simplify right side
    4,229.76x = 13,665,741.87
  5. Step 5: Solve for x
    x = 13,665,741.87/4,229.76
  6. Step 6: Final answer
    x = 3,230.86

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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.