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Finding the Fourth Proportional to 3,830.89, 5,741.43 and 3,335.27

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Solution

The fourth proportional to 3,830.89, 5,741.43 and 3,335.27 is: 4,998.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.89 : 5,741.43 = 3,335.27 : x
  2. Step 2: Convert to fraction form
    3,830.89/5,741.43 = 3,335.27/x
  3. Step 3: Cross multiply
    3,830.89x = 5,741.43 × 3,335.27
  4. Step 4: Simplify right side
    3,830.89x = 19,149,219.24
  5. Step 5: Solve for x
    x = 19,149,219.24/3,830.89
  6. Step 6: Final answer
    x = 4,998.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.