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Finding the Fourth Proportional to 5,309.61, 7,960.60 and 2,496.87

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Solution

The fourth proportional to 5,309.61, 7,960.60 and 2,496.87 is: 3,743.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.61 : 7,960.60 = 2,496.87 : x
  2. Step 2: Convert to fraction form
    5,309.61/7,960.60 = 2,496.87/x
  3. Step 3: Cross multiply
    5,309.61x = 7,960.60 × 2,496.87
  4. Step 4: Simplify right side
    5,309.61x = 19,876,583.32
  5. Step 5: Solve for x
    x = 19,876,583.32/5,309.61
  6. Step 6: Final answer
    x = 3,743.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.