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Finding the Fourth Proportional to 5,969.67, 8,237.23 and 3,451.30

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Solution

The fourth proportional to 5,969.67, 8,237.23 and 3,451.30 is: 4,762.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.67 : 8,237.23 = 3,451.30 : x
  2. Step 2: Convert to fraction form
    5,969.67/8,237.23 = 3,451.30/x
  3. Step 3: Cross multiply
    5,969.67x = 8,237.23 × 3,451.30
  4. Step 4: Simplify right side
    5,969.67x = 28,429,122.68
  5. Step 5: Solve for x
    x = 28,429,122.68/5,969.67
  6. Step 6: Final answer
    x = 4,762.26

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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.