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Finding the Fourth Proportional to 3,955.97, 5,459.06 and 2,163.40

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Solution

The fourth proportional to 3,955.97, 5,459.06 and 2,163.40 is: 2,985.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,955.97 : 5,459.06 = 2,163.40 : x
  2. Step 2: Convert to fraction form
    3,955.97/5,459.06 = 2,163.40/x
  3. Step 3: Cross multiply
    3,955.97x = 5,459.06 × 2,163.40
  4. Step 4: Simplify right side
    3,955.97x = 11,810,092.29
  5. Step 5: Solve for x
    x = 11,810,092.29/3,955.97
  6. Step 6: Final answer
    x = 2,985.39

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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.