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Finding the Fourth Proportional to 5,821.32, 8,025.84 and 5,238.12

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Solution

The fourth proportional to 5,821.32, 8,025.84 and 5,238.12 is: 7,221.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,821.32 : 8,025.84 = 5,238.12 : x
  2. Step 2: Convert to fraction form
    5,821.32/8,025.84 = 5,238.12/x
  3. Step 3: Cross multiply
    5,821.32x = 8,025.84 × 5,238.12
  4. Step 4: Simplify right side
    5,821.32x = 42,040,313.02
  5. Step 5: Solve for x
    x = 42,040,313.02/5,821.32
  6. Step 6: Final answer
    x = 7,221.78

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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.