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Finding the Fourth Proportional to 6,279.21, 8,665.74 and 3,626.82

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Solution

The fourth proportional to 6,279.21, 8,665.74 and 3,626.82 is: 5,005.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,279.21 : 8,665.74 = 3,626.82 : x
  2. Step 2: Convert to fraction form
    6,279.21/8,665.74 = 3,626.82/x
  3. Step 3: Cross multiply
    6,279.21x = 8,665.74 × 3,626.82
  4. Step 4: Simplify right side
    6,279.21x = 31,429,079.15
  5. Step 5: Solve for x
    x = 31,429,079.15/6,279.21
  6. Step 6: Final answer
    x = 5,005.26

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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.