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Finding the Fourth Proportional to 5,826.78, 8,041.11 and 3,174.33

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Solution

The fourth proportional to 5,826.78, 8,041.11 and 3,174.33 is: 4,380.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,826.78 : 8,041.11 = 3,174.33 : x
  2. Step 2: Convert to fraction form
    5,826.78/8,041.11 = 3,174.33/x
  3. Step 3: Cross multiply
    5,826.78x = 8,041.11 × 3,174.33
  4. Step 4: Simplify right side
    5,826.78x = 25,525,136.71
  5. Step 5: Solve for x
    x = 25,525,136.71/5,826.78
  6. Step 6: Final answer
    x = 4,380.66

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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.