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Finding the Fourth Proportional to 4,229.72, 5,837.70 and 4,042.84

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Solution

The fourth proportional to 4,229.72, 5,837.70 and 4,042.84 is: 5,579.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.72 : 5,837.70 = 4,042.84 : x
  2. Step 2: Convert to fraction form
    4,229.72/5,837.70 = 4,042.84/x
  3. Step 3: Cross multiply
    4,229.72x = 5,837.70 × 4,042.84
  4. Step 4: Simplify right side
    4,229.72x = 23,600,848.05
  5. Step 5: Solve for x
    x = 23,600,848.05/4,229.72
  6. Step 6: Final answer
    x = 5,579.77

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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.