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Finding the Fourth Proportional to 5,188.90, 7,779.39 and 2,593.66

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Solution

The fourth proportional to 5,188.90, 7,779.39 and 2,593.66 is: 3,888.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.90 : 7,779.39 = 2,593.66 : x
  2. Step 2: Convert to fraction form
    5,188.90/7,779.39 = 2,593.66/x
  3. Step 3: Cross multiply
    5,188.90x = 7,779.39 × 2,593.66
  4. Step 4: Simplify right side
    5,188.90x = 20,177,092.67
  5. Step 5: Solve for x
    x = 20,177,092.67/5,188.90
  6. Step 6: Final answer
    x = 3,888.51

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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.