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Finding the Fourth Proportional to 5,338.86, 7,997.13 and 4,293.20

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Solution

The fourth proportional to 5,338.86, 7,997.13 and 4,293.20 is: 6,430.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338.86 : 7,997.13 = 4,293.20 : x
  2. Step 2: Convert to fraction form
    5,338.86/7,997.13 = 4,293.20/x
  3. Step 3: Cross multiply
    5,338.86x = 7,997.13 × 4,293.20
  4. Step 4: Simplify right side
    5,338.86x = 34,333,292.41
  5. Step 5: Solve for x
    x = 34,333,292.41/5,338.86
  6. Step 6: Final answer
    x = 6,430.83

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