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Finding the Fourth Proportional to 4,092.41, 5,647.47 and 2,324

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Solution

The fourth proportional to 4,092.41, 5,647.47 and 2,324 is: 3,207.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,092.41 : 5,647.47 = 2,324 : x
  2. Step 2: Convert to fraction form
    4,092.41/5,647.47 = 2,324/x
  3. Step 3: Cross multiply
    4,092.41x = 5,647.47 × 2,324
  4. Step 4: Simplify right side
    4,092.41x = 13,124,720.28
  5. Step 5: Solve for x
    x = 13,124,720.28/4,092.41
  6. Step 6: Final answer
    x = 3,207.09

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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.