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Finding the Fourth Proportional to 5,099.85, 7,650.46 and 3,515.64

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Solution

The fourth proportional to 5,099.85, 7,650.46 and 3,515.64 is: 5,273.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099.85 : 7,650.46 = 3,515.64 : x
  2. Step 2: Convert to fraction form
    5,099.85/7,650.46 = 3,515.64/x
  3. Step 3: Cross multiply
    5,099.85x = 7,650.46 × 3,515.64
  4. Step 4: Simplify right side
    5,099.85x = 26,896,296.28
  5. Step 5: Solve for x
    x = 26,896,296.28/5,099.85
  6. Step 6: Final answer
    x = 5,273.93

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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.