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Finding the Fourth Proportional to 5,827.22, 8,041.31 and 3,174.65

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Solution

The fourth proportional to 5,827.22, 8,041.31 and 3,174.65 is: 4,380.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.22 : 8,041.31 = 3,174.65 : x
  2. Step 2: Convert to fraction form
    5,827.22/8,041.31 = 3,174.65/x
  3. Step 3: Cross multiply
    5,827.22x = 8,041.31 × 3,174.65
  4. Step 4: Simplify right side
    5,827.22x = 25,528,344.79
  5. Step 5: Solve for x
    x = 25,528,344.79/5,827.22
  6. Step 6: Final answer
    x = 4,380.88

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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.