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Finding the Fourth Proportional to 3,617.69, 5,427.38 and 1,396.85

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Solution

The fourth proportional to 3,617.69, 5,427.38 and 1,396.85 is: 2,095.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.69 : 5,427.38 = 1,396.85 : x
  2. Step 2: Convert to fraction form
    3,617.69/5,427.38 = 1,396.85/x
  3. Step 3: Cross multiply
    3,617.69x = 5,427.38 × 1,396.85
  4. Step 4: Simplify right side
    3,617.69x = 7,581,235.75
  5. Step 5: Solve for x
    x = 7,581,235.75/3,617.69
  6. Step 6: Final answer
    x = 2,095.60

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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.