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Finding the Fourth Proportional to 4,229.82, 5,837.74 and 2,461.99

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Solution

The fourth proportional to 4,229.82, 5,837.74 and 2,461.99 is: 3,397.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.82 : 5,837.74 = 2,461.99 : x
  2. Step 2: Convert to fraction form
    4,229.82/5,837.74 = 2,461.99/x
  3. Step 3: Cross multiply
    4,229.82x = 5,837.74 × 2,461.99
  4. Step 4: Simplify right side
    4,229.82x = 14,372,472.49
  5. Step 5: Solve for x
    x = 14,372,472.49/4,229.82
  6. Step 6: Final answer
    x = 3,397.90

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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.