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Finding the Fourth Proportional to 5,120.87, 7,665.59 and 3,733.87

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Solution

The fourth proportional to 5,120.87, 7,665.59 and 3,733.87 is: 5,589.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,120.87 : 7,665.59 = 3,733.87 : x
  2. Step 2: Convert to fraction form
    5,120.87/7,665.59 = 3,733.87/x
  3. Step 3: Cross multiply
    5,120.87x = 7,665.59 × 3,733.87
  4. Step 4: Simplify right side
    5,120.87x = 28,622,321.63
  5. Step 5: Solve for x
    x = 28,622,321.63/5,120.87
  6. Step 6: Final answer
    x = 5,589.35

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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.