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Finding the Fourth Proportional to 3,984.33, 5,977.31 and 1,387.47

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Solution

The fourth proportional to 3,984.33, 5,977.31 and 1,387.47 is: 2,081.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.33 : 5,977.31 = 1,387.47 : x
  2. Step 2: Convert to fraction form
    3,984.33/5,977.31 = 1,387.47/x
  3. Step 3: Cross multiply
    3,984.33x = 5,977.31 × 1,387.47
  4. Step 4: Simplify right side
    3,984.33x = 8,293,331.37
  5. Step 5: Solve for x
    x = 8,293,331.37/3,984.33
  6. Step 6: Final answer
    x = 2,081.49

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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.