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Finding the Fourth Proportional to 5,927.56, 8,179.71 and 3,689.38

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Solution

The fourth proportional to 5,927.56, 8,179.71 and 3,689.38 is: 5,091.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,927.56 : 8,179.71 = 3,689.38 : x
  2. Step 2: Convert to fraction form
    5,927.56/8,179.71 = 3,689.38/x
  3. Step 3: Cross multiply
    5,927.56x = 8,179.71 × 3,689.38
  4. Step 4: Simplify right side
    5,927.56x = 30,178,058.48
  5. Step 5: Solve for x
    x = 30,178,058.48/5,927.56
  6. Step 6: Final answer
    x = 5,091.14

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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.