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Finding the Fourth Proportional to 3,987.27, 5,976.99 and 1,486.62

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Solution

The fourth proportional to 3,987.27, 5,976.99 and 1,486.62 is: 2,228.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,987.27 : 5,976.99 = 1,486.62 : x
  2. Step 2: Convert to fraction form
    3,987.27/5,976.99 = 1,486.62/x
  3. Step 3: Cross multiply
    3,987.27x = 5,976.99 × 1,486.62
  4. Step 4: Simplify right side
    3,987.27x = 8,885,516.59
  5. Step 5: Solve for x
    x = 8,885,516.59/3,987.27
  6. Step 6: Final answer
    x = 2,228.47

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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.