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Finding the Fourth Proportional to 5,490.38, 7,576.34 and 3,099.62

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Solution

The fourth proportional to 5,490.38, 7,576.34 and 3,099.62 is: 4,277.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,490.38 : 7,576.34 = 3,099.62 : x
  2. Step 2: Convert to fraction form
    5,490.38/7,576.34 = 3,099.62/x
  3. Step 3: Cross multiply
    5,490.38x = 7,576.34 × 3,099.62
  4. Step 4: Simplify right side
    5,490.38x = 23,483,735.82
  5. Step 5: Solve for x
    x = 23,483,735.82/5,490.38
  6. Step 6: Final answer
    x = 4,277.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.