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Finding the Fourth Proportional to 5,365.74, 8,040.51 and 3,976.86

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Solution

The fourth proportional to 5,365.74, 8,040.51 and 3,976.86 is: 5,959.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,365.74 : 8,040.51 = 3,976.86 : x
  2. Step 2: Convert to fraction form
    5,365.74/8,040.51 = 3,976.86/x
  3. Step 3: Cross multiply
    5,365.74x = 8,040.51 × 3,976.86
  4. Step 4: Simplify right side
    5,365.74x = 31,975,982.60
  5. Step 5: Solve for x
    x = 31,975,982.60/5,365.74
  6. Step 6: Final answer
    x = 5,959.29

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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.