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Finding the Fourth Proportional to 3,473.72, 5,212.64 and 1,394.18

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Solution

The fourth proportional to 3,473.72, 5,212.64 and 1,394.18 is: 2,092.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.72 : 5,212.64 = 1,394.18 : x
  2. Step 2: Convert to fraction form
    3,473.72/5,212.64 = 1,394.18/x
  3. Step 3: Cross multiply
    3,473.72x = 5,212.64 × 1,394.18
  4. Step 4: Simplify right side
    3,473.72x = 7,267,358.44
  5. Step 5: Solve for x
    x = 7,267,358.44/3,473.72
  6. Step 6: Final answer
    x = 2,092.10

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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.