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Finding the Fourth Proportional to 5,976, 8,248.16 and 3,769.28

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Solution

The fourth proportional to 5,976, 8,248.16 and 3,769.28 is: 5,202.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976 : 8,248.16 = 3,769.28 : x
  2. Step 2: Convert to fraction form
    5,976/8,248.16 = 3,769.28/x
  3. Step 3: Cross multiply
    5,976x = 8,248.16 × 3,769.28
  4. Step 4: Simplify right side
    5,976x = 31,089,624.52
  5. Step 5: Solve for x
    x = 31,089,624.52/5,976
  6. Step 6: Final answer
    x = 5,202.41

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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.