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Finding the Fourth Proportional to 3,984.36, 5,976.32 and 1,387.48

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Solution

The fourth proportional to 3,984.36, 5,976.32 and 1,387.48 is: 2,081.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.36 : 5,976.32 = 1,387.48 : x
  2. Step 2: Convert to fraction form
    3,984.36/5,976.32 = 1,387.48/x
  3. Step 3: Cross multiply
    3,984.36x = 5,976.32 × 1,387.48
  4. Step 4: Simplify right side
    3,984.36x = 8,292,024.47
  5. Step 5: Solve for x
    x = 8,292,024.47/3,984.36
  6. Step 6: Final answer
    x = 2,081.14

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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.