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Finding the Fourth Proportional to 4,092.72, 5,646.96 and 2,324

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Solution

The fourth proportional to 4,092.72, 5,646.96 and 2,324 is: 3,206.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,092.72 : 5,646.96 = 2,324 : x
  2. Step 2: Convert to fraction form
    4,092.72/5,646.96 = 2,324/x
  3. Step 3: Cross multiply
    4,092.72x = 5,646.96 × 2,324
  4. Step 4: Simplify right side
    4,092.72x = 13,123,535.04
  5. Step 5: Solve for x
    x = 13,123,535.04/4,092.72
  6. Step 6: Final answer
    x = 3,206.56

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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.