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Finding the Fourth Proportional to 5,713.03, 7,883.14 and 3,194.83

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Solution

The fourth proportional to 5,713.03, 7,883.14 and 3,194.83 is: 4,408.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.03 : 7,883.14 = 3,194.83 : x
  2. Step 2: Convert to fraction form
    5,713.03/7,883.14 = 3,194.83/x
  3. Step 3: Cross multiply
    5,713.03x = 7,883.14 × 3,194.83
  4. Step 4: Simplify right side
    5,713.03x = 25,185,292.17
  5. Step 5: Solve for x
    x = 25,185,292.17/5,713.03
  6. Step 6: Final answer
    x = 4,408.39

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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.