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Finding the Fourth Proportional to 5,099.49, 7,610.49 and 4,968.27

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Solution

The fourth proportional to 5,099.49, 7,610.49 and 4,968.27 is: 7,414.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099.49 : 7,610.49 = 4,968.27 : x
  2. Step 2: Convert to fraction form
    5,099.49/7,610.49 = 4,968.27/x
  3. Step 3: Cross multiply
    5,099.49x = 7,610.49 × 4,968.27
  4. Step 4: Simplify right side
    5,099.49x = 37,810,969.15
  5. Step 5: Solve for x
    x = 37,810,969.15/5,099.49
  6. Step 6: Final answer
    x = 7,414.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.