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Finding the Fourth Proportional to 5,305.78, 7,324.63 and 4,108.09

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Solution

The fourth proportional to 5,305.78, 7,324.63 and 4,108.09 is: 5,671.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.78 : 7,324.63 = 4,108.09 : x
  2. Step 2: Convert to fraction form
    5,305.78/7,324.63 = 4,108.09/x
  3. Step 3: Cross multiply
    5,305.78x = 7,324.63 × 4,108.09
  4. Step 4: Simplify right side
    5,305.78x = 30,090,245.01
  5. Step 5: Solve for x
    x = 30,090,245.01/5,305.78
  6. Step 6: Final answer
    x = 5,671.22

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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.