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Finding the Fourth Proportional to 6,278.22, 8,663.76 and 3,626.10

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Solution

The fourth proportional to 6,278.22, 8,663.76 and 3,626.10 is: 5,003.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.22 : 8,663.76 = 3,626.10 : x
  2. Step 2: Convert to fraction form
    6,278.22/8,663.76 = 3,626.10/x
  3. Step 3: Cross multiply
    6,278.22x = 8,663.76 × 3,626.10
  4. Step 4: Simplify right side
    6,278.22x = 31,415,660.14
  5. Step 5: Solve for x
    x = 31,415,660.14/6,278.22
  6. Step 6: Final answer
    x = 5,003.91

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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.