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Finding the Fourth Proportional to 3,047.14, 4,205.56 and 1,721.20

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Solution

The fourth proportional to 3,047.14, 4,205.56 and 1,721.20 is: 2,375.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.14 : 4,205.56 = 1,721.20 : x
  2. Step 2: Convert to fraction form
    3,047.14/4,205.56 = 1,721.20/x
  3. Step 3: Cross multiply
    3,047.14x = 4,205.56 × 1,721.20
  4. Step 4: Simplify right side
    3,047.14x = 7,238,609.87
  5. Step 5: Solve for x
    x = 7,238,609.87/3,047.14
  6. Step 6: Final answer
    x = 2,375.54

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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.