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Finding the Fourth Proportional to 5,267.53, 7,270.47 and 3,171.25

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Solution

The fourth proportional to 5,267.53, 7,270.47 and 3,171.25 is: 4,377.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,267.53 : 7,270.47 = 3,171.25 : x
  2. Step 2: Convert to fraction form
    5,267.53/7,270.47 = 3,171.25/x
  3. Step 3: Cross multiply
    5,267.53x = 7,270.47 × 3,171.25
  4. Step 4: Simplify right side
    5,267.53x = 23,056,477.99
  5. Step 5: Solve for x
    x = 23,056,477.99/5,267.53
  6. Step 6: Final answer
    x = 4,377.09

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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.