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Finding the Fourth Proportional to 5,765.22, 7,956.15 and 3,247.41

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Solution

The fourth proportional to 5,765.22, 7,956.15 and 3,247.41 is: 4,481.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.22 : 7,956.15 = 3,247.41 : x
  2. Step 2: Convert to fraction form
    5,765.22/7,956.15 = 3,247.41/x
  3. Step 3: Cross multiply
    5,765.22x = 7,956.15 × 3,247.41
  4. Step 4: Simplify right side
    5,765.22x = 25,836,881.07
  5. Step 5: Solve for x
    x = 25,836,881.07/5,765.22
  6. Step 6: Final answer
    x = 4,481.51

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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.