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Finding the Fourth Proportional to 6,281.39, 8,668.39 and 3,629.66

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Solution

The fourth proportional to 6,281.39, 8,668.39 and 3,629.66 is: 5,008.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,281.39 : 8,668.39 = 3,629.66 : x
  2. Step 2: Convert to fraction form
    6,281.39/8,668.39 = 3,629.66/x
  3. Step 3: Cross multiply
    6,281.39x = 8,668.39 × 3,629.66
  4. Step 4: Simplify right side
    6,281.39x = 31,463,256.03
  5. Step 5: Solve for x
    x = 31,463,256.03/6,281.39
  6. Step 6: Final answer
    x = 5,008.96

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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.