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Finding the Fourth Proportional to 3,891.92, 5,370.72 and 2,319.20

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Solution

The fourth proportional to 3,891.92, 5,370.72 and 2,319.20 is: 3,200.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.92 : 5,370.72 = 2,319.20 : x
  2. Step 2: Convert to fraction form
    3,891.92/5,370.72 = 2,319.20/x
  3. Step 3: Cross multiply
    3,891.92x = 5,370.72 × 2,319.20
  4. Step 4: Simplify right side
    3,891.92x = 12,455,773.82
  5. Step 5: Solve for x
    x = 12,455,773.82/3,891.92
  6. Step 6: Final answer
    x = 3,200.42

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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.