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Finding the Fourth Proportional to 5,881.97, 8,116.00 and 3,995.06

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Solution

The fourth proportional to 5,881.97, 8,116.00 and 3,995.06 is: 5,512.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,881.97 : 8,116.00 = 3,995.06 : x
  2. Step 2: Convert to fraction form
    5,881.97/8,116.00 = 3,995.06/x
  3. Step 3: Cross multiply
    5,881.97x = 8,116.00 × 3,995.06
  4. Step 4: Simplify right side
    5,881.97x = 32,423,856.39
  5. Step 5: Solve for x
    x = 32,423,856.39/5,881.97
  6. Step 6: Final answer
    x = 5,512.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.