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Finding the Fourth Proportional to 5,198.64, 7,174.52 and 2,960.61

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Solution

The fourth proportional to 5,198.64, 7,174.52 and 2,960.61 is: 4,085.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.64 : 7,174.52 = 2,960.61 : x
  2. Step 2: Convert to fraction form
    5,198.64/7,174.52 = 2,960.61/x
  3. Step 3: Cross multiply
    5,198.64x = 7,174.52 × 2,960.61
  4. Step 4: Simplify right side
    5,198.64x = 21,240,955.66
  5. Step 5: Solve for x
    x = 21,240,955.66/5,198.64
  6. Step 6: Final answer
    x = 4,085.87

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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.