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Finding the Fourth Proportional to 5,179.53, 7,147.34 and 2,941

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Solution

The fourth proportional to 5,179.53, 7,147.34 and 2,941 is: 4,058.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,179.53 : 7,147.34 = 2,941 : x
  2. Step 2: Convert to fraction form
    5,179.53/7,147.34 = 2,941/x
  3. Step 3: Cross multiply
    5,179.53x = 7,147.34 × 2,941
  4. Step 4: Simplify right side
    5,179.53x = 21,020,326.94
  5. Step 5: Solve for x
    x = 21,020,326.94/5,179.53
  6. Step 6: Final answer
    x = 4,058.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.