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Finding the Fourth Proportional to 5,238.27, 7,820.08 and 4,550.31

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Solution

The fourth proportional to 5,238.27, 7,820.08 and 4,550.31 is: 6,793.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.27 : 7,820.08 = 4,550.31 : x
  2. Step 2: Convert to fraction form
    5,238.27/7,820.08 = 4,550.31/x
  3. Step 3: Cross multiply
    5,238.27x = 7,820.08 × 4,550.31
  4. Step 4: Simplify right side
    5,238.27x = 35,583,776.85
  5. Step 5: Solve for x
    x = 35,583,776.85/5,238.27
  6. Step 6: Final answer
    x = 6,793.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.