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Finding the Fourth Proportional to 3,984.15, 5,976.53 and 1,062.39

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Solution

The fourth proportional to 3,984.15, 5,976.53 and 1,062.39 is: 1,593.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.15 : 5,976.53 = 1,062.39 : x
  2. Step 2: Convert to fraction form
    3,984.15/5,976.53 = 1,062.39/x
  3. Step 3: Cross multiply
    3,984.15x = 5,976.53 × 1,062.39
  4. Step 4: Simplify right side
    3,984.15x = 6,349,400.39
  5. Step 5: Solve for x
    x = 6,349,400.39/3,984.15
  6. Step 6: Final answer
    x = 1,593.66

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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.