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Finding the Fourth Proportional to 3,987.84, 5,976.27 and 2,035.97

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Solution

The fourth proportional to 3,987.84, 5,976.27 and 2,035.97 is: 3,051.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,987.84 : 5,976.27 = 2,035.97 : x
  2. Step 2: Convert to fraction form
    3,987.84/5,976.27 = 2,035.97/x
  3. Step 3: Cross multiply
    3,987.84x = 5,976.27 × 2,035.97
  4. Step 4: Simplify right side
    3,987.84x = 12,167,476.55
  5. Step 5: Solve for x
    x = 12,167,476.55/3,987.84
  6. Step 6: Final answer
    x = 3,051.14

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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.