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Finding the Fourth Proportional to 5,969.86, 8,237.77 and 3,451.57

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Solution

The fourth proportional to 5,969.86, 8,237.77 and 3,451.57 is: 4,762.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.86 : 8,237.77 = 3,451.57 : x
  2. Step 2: Convert to fraction form
    5,969.86/8,237.77 = 3,451.57/x
  3. Step 3: Cross multiply
    5,969.86x = 8,237.77 × 3,451.57
  4. Step 4: Simplify right side
    5,969.86x = 28,433,239.80
  5. Step 5: Solve for x
    x = 28,433,239.80/5,969.86
  6. Step 6: Final answer
    x = 4,762.80

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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.