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Finding the Fourth Proportional to 5,221.50, 7,833.54 and 1,524

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Solution

The fourth proportional to 5,221.50, 7,833.54 and 1,524 is: 2,286.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.50 : 7,833.54 = 1,524 : x
  2. Step 2: Convert to fraction form
    5,221.50/7,833.54 = 1,524/x
  3. Step 3: Cross multiply
    5,221.50x = 7,833.54 × 1,524
  4. Step 4: Simplify right side
    5,221.50x = 11,938,314.96
  5. Step 5: Solve for x
    x = 11,938,314.96/5,221.50
  6. Step 6: Final answer
    x = 2,286.38

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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.