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Finding the Fourth Proportional to 3,833.53, 5,289.72 and 2,154.85

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Solution

The fourth proportional to 3,833.53, 5,289.72 and 2,154.85 is: 2,973.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.53 : 5,289.72 = 2,154.85 : x
  2. Step 2: Convert to fraction form
    3,833.53/5,289.72 = 2,154.85/x
  3. Step 3: Cross multiply
    3,833.53x = 5,289.72 × 2,154.85
  4. Step 4: Simplify right side
    3,833.53x = 11,398,553.14
  5. Step 5: Solve for x
    x = 11,398,553.14/3,833.53
  6. Step 6: Final answer
    x = 2,973.38

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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.