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Finding the Fourth Proportional to 5,969.50, 8,237.91 and 4,109.74

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Solution

The fourth proportional to 5,969.50, 8,237.91 and 4,109.74 is: 5,671.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.50 : 8,237.91 = 4,109.74 : x
  2. Step 2: Convert to fraction form
    5,969.50/8,237.91 = 4,109.74/x
  3. Step 3: Cross multiply
    5,969.50x = 8,237.91 × 4,109.74
  4. Step 4: Simplify right side
    5,969.50x = 33,855,668.24
  5. Step 5: Solve for x
    x = 33,855,668.24/5,969.50
  6. Step 6: Final answer
    x = 5,671.44

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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.