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Finding the Fourth Proportional to 3,879.48, 5,353.65 and 3,319.23

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Solution

The fourth proportional to 3,879.48, 5,353.65 and 3,319.23 is: 4,580.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.48 : 5,353.65 = 3,319.23 : x
  2. Step 2: Convert to fraction form
    3,879.48/5,353.65 = 3,319.23/x
  3. Step 3: Cross multiply
    3,879.48x = 5,353.65 × 3,319.23
  4. Step 4: Simplify right side
    3,879.48x = 17,769,995.69
  5. Step 5: Solve for x
    x = 17,769,995.69/3,879.48
  6. Step 6: Final answer
    x = 4,580.51

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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.