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Finding the Fourth Proportional to 5,099.56, 7,650.75 and 2,909.82

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Solution

The fourth proportional to 5,099.56, 7,650.75 and 2,909.82 is: 4,365.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099.56 : 7,650.75 = 2,909.82 : x
  2. Step 2: Convert to fraction form
    5,099.56/7,650.75 = 2,909.82/x
  3. Step 3: Cross multiply
    5,099.56x = 7,650.75 × 2,909.82
  4. Step 4: Simplify right side
    5,099.56x = 22,262,344.97
  5. Step 5: Solve for x
    x = 22,262,344.97/5,099.56
  6. Step 6: Final answer
    x = 4,365.54

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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.