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Finding the Fourth Proportional to 5,197.58, 7,175.01 and 3,311.74

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Solution

The fourth proportional to 5,197.58, 7,175.01 and 3,311.74 is: 4,571.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.58 : 7,175.01 = 3,311.74 : x
  2. Step 2: Convert to fraction form
    5,197.58/7,175.01 = 3,311.74/x
  3. Step 3: Cross multiply
    5,197.58x = 7,175.01 × 3,311.74
  4. Step 4: Simplify right side
    5,197.58x = 23,761,767.62
  5. Step 5: Solve for x
    x = 23,761,767.62/5,197.58
  6. Step 6: Final answer
    x = 4,571.70

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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.