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Finding the Fourth Proportional to 5,338.86, 8,003.94 and 3,282.54

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Solution

The fourth proportional to 5,338.86, 8,003.94 and 3,282.54 is: 4,921.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338.86 : 8,003.94 = 3,282.54 : x
  2. Step 2: Convert to fraction form
    5,338.86/8,003.94 = 3,282.54/x
  3. Step 3: Cross multiply
    5,338.86x = 8,003.94 × 3,282.54
  4. Step 4: Simplify right side
    5,338.86x = 26,273,253.21
  5. Step 5: Solve for x
    x = 26,273,253.21/5,338.86
  6. Step 6: Final answer
    x = 4,921.14

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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.