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Finding the Fourth Proportional to 4,319.80, 6,481.05 and 1,822.12

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Solution

The fourth proportional to 4,319.80, 6,481.05 and 1,822.12 is: 2,733.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,319.80 : 6,481.05 = 1,822.12 : x
  2. Step 2: Convert to fraction form
    4,319.80/6,481.05 = 1,822.12/x
  3. Step 3: Cross multiply
    4,319.80x = 6,481.05 × 1,822.12
  4. Step 4: Simplify right side
    4,319.80x = 11,809,250.83
  5. Step 5: Solve for x
    x = 11,809,250.83/4,319.80
  6. Step 6: Final answer
    x = 2,733.75

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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.