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Finding the Fourth Proportional to 5,771.36, 7,967.14 and 3,381

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Solution

The fourth proportional to 5,771.36, 7,967.14 and 3,381 is: 4,667.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,771.36 : 7,967.14 = 3,381 : x
  2. Step 2: Convert to fraction form
    5,771.36/7,967.14 = 3,381/x
  3. Step 3: Cross multiply
    5,771.36x = 7,967.14 × 3,381
  4. Step 4: Simplify right side
    5,771.36x = 26,936,900.34
  5. Step 5: Solve for x
    x = 26,936,900.34/5,771.36
  6. Step 6: Final answer
    x = 4,667.34

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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.