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Finding the Fourth Proportional to 3,344.72, 5,017.34 and 1,397.48

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Solution

The fourth proportional to 3,344.72, 5,017.34 and 1,397.48 is: 2,096.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,344.72 : 5,017.34 = 1,397.48 : x
  2. Step 2: Convert to fraction form
    3,344.72/5,017.34 = 1,397.48/x
  3. Step 3: Cross multiply
    3,344.72x = 5,017.34 × 1,397.48
  4. Step 4: Simplify right side
    3,344.72x = 7,011,632.30
  5. Step 5: Solve for x
    x = 7,011,632.30/3,344.72
  6. Step 6: Final answer
    x = 2,096.33

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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.