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Finding the Fourth Proportional to 5,221.88, 7,832.82 and 1,759.13

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Solution

The fourth proportional to 5,221.88, 7,832.82 and 1,759.13 is: 2,638.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.88 : 7,832.82 = 1,759.13 : x
  2. Step 2: Convert to fraction form
    5,221.88/7,832.82 = 1,759.13/x
  3. Step 3: Cross multiply
    5,221.88x = 7,832.82 × 1,759.13
  4. Step 4: Simplify right side
    5,221.88x = 13,778,900.69
  5. Step 5: Solve for x
    x = 13,778,900.69/5,221.88
  6. Step 6: Final answer
    x = 2,638.69

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