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Finding the Fourth Proportional to 6,226.77, 8,596.02 and 4,103.66

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Solution

The fourth proportional to 6,226.77, 8,596.02 and 4,103.66 is: 5,665.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,226.77 : 8,596.02 = 4,103.66 : x
  2. Step 2: Convert to fraction form
    6,226.77/8,596.02 = 4,103.66/x
  3. Step 3: Cross multiply
    6,226.77x = 8,596.02 × 4,103.66
  4. Step 4: Simplify right side
    6,226.77x = 35,275,180.31
  5. Step 5: Solve for x
    x = 35,275,180.31/6,226.77
  6. Step 6: Final answer
    x = 5,665.08

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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.