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Finding the Fourth Proportional to 3,462.14, 5,190.60 and 1,794.47

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Solution

The fourth proportional to 3,462.14, 5,190.60 and 1,794.47 is: 2,690.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.14 : 5,190.60 = 1,794.47 : x
  2. Step 2: Convert to fraction form
    3,462.14/5,190.60 = 1,794.47/x
  3. Step 3: Cross multiply
    3,462.14x = 5,190.60 × 1,794.47
  4. Step 4: Simplify right side
    3,462.14x = 9,314,375.98
  5. Step 5: Solve for x
    x = 9,314,375.98/3,462.14
  6. Step 6: Final answer
    x = 2,690.35

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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.