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Finding the Fourth Proportional to 6,002.22, 8,282.67 and 3,764

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Solution

The fourth proportional to 6,002.22, 8,282.67 and 3,764 is: 5,194.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.22 : 8,282.67 = 3,764 : x
  2. Step 2: Convert to fraction form
    6,002.22/8,282.67 = 3,764/x
  3. Step 3: Cross multiply
    6,002.22x = 8,282.67 × 3,764
  4. Step 4: Simplify right side
    6,002.22x = 31,175,969.88
  5. Step 5: Solve for x
    x = 31,175,969.88/6,002.22
  6. Step 6: Final answer
    x = 5,194.07

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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.