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Finding the Fourth Proportional to 5,777.14, 7,975.88 and 3,791.17

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Solution

The fourth proportional to 5,777.14, 7,975.88 and 3,791.17 is: 5,234.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.14 : 7,975.88 = 3,791.17 : x
  2. Step 2: Convert to fraction form
    5,777.14/7,975.88 = 3,791.17/x
  3. Step 3: Cross multiply
    5,777.14x = 7,975.88 × 3,791.17
  4. Step 4: Simplify right side
    5,777.14x = 30,237,916.98
  5. Step 5: Solve for x
    x = 30,237,916.98/5,777.14
  6. Step 6: Final answer
    x = 5,234.06

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1.5x scale

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.