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Finding the Fourth Proportional to 3,648.47, 5,472.50 and 1,183.23

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Solution

The fourth proportional to 3,648.47, 5,472.50 and 1,183.23 is: 1,774.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.47 : 5,472.50 = 1,183.23 : x
  2. Step 2: Convert to fraction form
    3,648.47/5,472.50 = 1,183.23/x
  3. Step 3: Cross multiply
    3,648.47x = 5,472.50 × 1,183.23
  4. Step 4: Simplify right side
    3,648.47x = 6,475,220.26
  5. Step 5: Solve for x
    x = 6,475,220.26/3,648.47
  6. Step 6: Final answer
    x = 1,774.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.