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Finding the Fourth Proportional to 5,058.41, 6,980.42 and 3,171.00

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Solution

The fourth proportional to 5,058.41, 6,980.42 and 3,171.00 is: 4,375.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,058.41 : 6,980.42 = 3,171.00 : x
  2. Step 2: Convert to fraction form
    5,058.41/6,980.42 = 3,171.00/x
  3. Step 3: Cross multiply
    5,058.41x = 6,980.42 × 3,171.00
  4. Step 4: Simplify right side
    5,058.41x = 22,134,945.92
  5. Step 5: Solve for x
    x = 22,134,945.92/5,058.41
  6. Step 6: Final answer
    x = 4,375.87

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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.