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Finding the Fourth Proportional to 5,761.08, 7,949.28 and 3,403.96

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Solution

The fourth proportional to 5,761.08, 7,949.28 and 3,403.96 is: 4,696.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761.08 : 7,949.28 = 3,403.96 : x
  2. Step 2: Convert to fraction form
    5,761.08/7,949.28 = 3,403.96/x
  3. Step 3: Cross multiply
    5,761.08x = 7,949.28 × 3,403.96
  4. Step 4: Simplify right side
    5,761.08x = 27,059,031.15
  5. Step 5: Solve for x
    x = 27,059,031.15/5,761.08
  6. Step 6: Final answer
    x = 4,696.87

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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.