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Finding the Fourth Proportional to 5,767.22, 8,650.83 and 1,663.22

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Solution

The fourth proportional to 5,767.22, 8,650.83 and 1,663.22 is: 2,494.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.22 : 8,650.83 = 1,663.22 : x
  2. Step 2: Convert to fraction form
    5,767.22/8,650.83 = 1,663.22/x
  3. Step 3: Cross multiply
    5,767.22x = 8,650.83 × 1,663.22
  4. Step 4: Simplify right side
    5,767.22x = 14,388,190.22
  5. Step 5: Solve for x
    x = 14,388,190.22/5,767.22
  6. Step 6: Final answer
    x = 2,494.82

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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.