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Finding the Fourth Proportional to 5,198.64, 7,174.08 and 2,840.76

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Solution

The fourth proportional to 5,198.64, 7,174.08 and 2,840.76 is: 3,920.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.64 : 7,174.08 = 2,840.76 : x
  2. Step 2: Convert to fraction form
    5,198.64/7,174.08 = 2,840.76/x
  3. Step 3: Cross multiply
    5,198.64x = 7,174.08 × 2,840.76
  4. Step 4: Simplify right side
    5,198.64x = 20,379,839.50
  5. Step 5: Solve for x
    x = 20,379,839.50/5,198.64
  6. Step 6: Final answer
    x = 3,920.23

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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.