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Finding the Fourth Proportional to 4,481.06, 6,722.51 and 1,884

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Solution

The fourth proportional to 4,481.06, 6,722.51 and 1,884 is: 2,826.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,481.06 : 6,722.51 = 1,884 : x
  2. Step 2: Convert to fraction form
    4,481.06/6,722.51 = 1,884/x
  3. Step 3: Cross multiply
    4,481.06x = 6,722.51 × 1,884
  4. Step 4: Simplify right side
    4,481.06x = 12,665,199.42
  5. Step 5: Solve for x
    x = 12,665,199.42/4,481.06
  6. Step 6: Final answer
    x = 2,826.38

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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.