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Finding the Fourth Proportional to 3,919.37, 5,406.68 and 3,174.17

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Solution

The fourth proportional to 3,919.37, 5,406.68 and 3,174.17 is: 4,378.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.37 : 5,406.68 = 3,174.17 : x
  2. Step 2: Convert to fraction form
    3,919.37/5,406.68 = 3,174.17/x
  3. Step 3: Cross multiply
    3,919.37x = 5,406.68 × 3,174.17
  4. Step 4: Simplify right side
    3,919.37x = 17,161,702.36
  5. Step 5: Solve for x
    x = 17,161,702.36/3,919.37
  6. Step 6: Final answer
    x = 4,378.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.