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Finding the Fourth Proportional to 5,108.77, 7,663.76 and 1,822.33

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Solution

The fourth proportional to 5,108.77, 7,663.76 and 1,822.33 is: 2,733.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,108.77 : 7,663.76 = 1,822.33 : x
  2. Step 2: Convert to fraction form
    5,108.77/7,663.76 = 1,822.33/x
  3. Step 3: Cross multiply
    5,108.77x = 7,663.76 × 1,822.33
  4. Step 4: Simplify right side
    5,108.77x = 13,965,890.65
  5. Step 5: Solve for x
    x = 13,965,890.65/5,108.77
  6. Step 6: Final answer
    x = 2,733.71

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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.