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Finding the Fourth Proportional to 4,092.54, 5,647.74 and 2,324.18

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Solution

The fourth proportional to 4,092.54, 5,647.74 and 2,324.18 is: 3,207.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,092.54 : 5,647.74 = 2,324.18 : x
  2. Step 2: Convert to fraction form
    4,092.54/5,647.74 = 2,324.18/x
  3. Step 3: Cross multiply
    4,092.54x = 5,647.74 × 2,324.18
  4. Step 4: Simplify right side
    4,092.54x = 13,126,387.19
  5. Step 5: Solve for x
    x = 13,126,387.19/4,092.54
  6. Step 6: Final answer
    x = 3,207.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.