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Finding the Fourth Proportional to 4,092.53, 5,648.20 and 2,324.70

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Solution

The fourth proportional to 4,092.53, 5,648.20 and 2,324.70 is: 3,208.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,092.53 : 5,648.20 = 2,324.70 : x
  2. Step 2: Convert to fraction form
    4,092.53/5,648.20 = 2,324.70/x
  3. Step 3: Cross multiply
    4,092.53x = 5,648.20 × 2,324.70
  4. Step 4: Simplify right side
    4,092.53x = 13,130,364.73
  5. Step 5: Solve for x
    x = 13,130,364.73/4,092.53
  6. Step 6: Final answer
    x = 3,208.38

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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.