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Finding the Fourth Proportional to 4,348.89, 5,998.86 and 4,057.29

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Solution

The fourth proportional to 4,348.89, 5,998.86 and 4,057.29 is: 5,596.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,348.89 : 5,998.86 = 4,057.29 : x
  2. Step 2: Convert to fraction form
    4,348.89/5,998.86 = 4,057.29/x
  3. Step 3: Cross multiply
    4,348.89x = 5,998.86 × 4,057.29
  4. Step 4: Simplify right side
    4,348.89x = 24,339,114.69
  5. Step 5: Solve for x
    x = 24,339,114.69/4,348.89
  6. Step 6: Final answer
    x = 5,596.63

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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.