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Finding the Fourth Proportional to 5,531.10, 7,640.38 and 5,137.44

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Solution

The fourth proportional to 5,531.10, 7,640.38 and 5,137.44 is: 7,096.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,531.10 : 7,640.38 = 5,137.44 : x
  2. Step 2: Convert to fraction form
    5,531.10/7,640.38 = 5,137.44/x
  3. Step 3: Cross multiply
    5,531.10x = 7,640.38 × 5,137.44
  4. Step 4: Simplify right side
    5,531.10x = 39,251,993.83
  5. Step 5: Solve for x
    x = 39,251,993.83/5,531.10
  6. Step 6: Final answer
    x = 7,096.60

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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.