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Finding the Fourth Proportional to 4,712.72, 7,071.12 and 2,247.56

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Solution

The fourth proportional to 4,712.72, 7,071.12 and 2,247.56 is: 3,372.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.72 : 7,071.12 = 2,247.56 : x
  2. Step 2: Convert to fraction form
    4,712.72/7,071.12 = 2,247.56/x
  3. Step 3: Cross multiply
    4,712.72x = 7,071.12 × 2,247.56
  4. Step 4: Simplify right side
    4,712.72x = 15,892,766.47
  5. Step 5: Solve for x
    x = 15,892,766.47/4,712.72
  6. Step 6: Final answer
    x = 3,372.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.