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Finding the Fourth Proportional to 3,473.91, 5,210.73 and 1,394.85

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Solution

The fourth proportional to 3,473.91, 5,210.73 and 1,394.85 is: 2,092.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.91 : 5,210.73 = 1,394.85 : x
  2. Step 2: Convert to fraction form
    3,473.91/5,210.73 = 1,394.85/x
  3. Step 3: Cross multiply
    3,473.91x = 5,210.73 × 1,394.85
  4. Step 4: Simplify right side
    3,473.91x = 7,268,186.74
  5. Step 5: Solve for x
    x = 7,268,186.74/3,473.91
  6. Step 6: Final answer
    x = 2,092.22

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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.