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Finding the Fourth Proportional to 4,471.34, 6,170.18 and 2,481.77

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Solution

The fourth proportional to 4,471.34, 6,170.18 and 2,481.77 is: 3,424.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.34 : 6,170.18 = 2,481.77 : x
  2. Step 2: Convert to fraction form
    4,471.34/6,170.18 = 2,481.77/x
  3. Step 3: Cross multiply
    4,471.34x = 6,170.18 × 2,481.77
  4. Step 4: Simplify right side
    4,471.34x = 15,312,924.36
  5. Step 5: Solve for x
    x = 15,312,924.36/4,471.34
  6. Step 6: Final answer
    x = 3,424.69

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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.