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Finding the Fourth Proportional to 3,566.37, 5,350.09 and 1,226.98

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Solution

The fourth proportional to 3,566.37, 5,350.09 and 1,226.98 is: 1,840.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.37 : 5,350.09 = 1,226.98 : x
  2. Step 2: Convert to fraction form
    3,566.37/5,350.09 = 1,226.98/x
  3. Step 3: Cross multiply
    3,566.37x = 5,350.09 × 1,226.98
  4. Step 4: Simplify right side
    3,566.37x = 6,564,453.43
  5. Step 5: Solve for x
    x = 6,564,453.43/3,566.37
  6. Step 6: Final answer
    x = 1,840.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.