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Finding the Fourth Proportional to 5,446.42, 8,166.34 and 2,443.91

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Solution

The fourth proportional to 5,446.42, 8,166.34 and 2,443.91 is: 3,664.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,446.42 : 8,166.34 = 2,443.91 : x
  2. Step 2: Convert to fraction form
    5,446.42/8,166.34 = 2,443.91/x
  3. Step 3: Cross multiply
    5,446.42x = 8,166.34 × 2,443.91
  4. Step 4: Simplify right side
    5,446.42x = 19,957,767.35
  5. Step 5: Solve for x
    x = 19,957,767.35/5,446.42
  6. Step 6: Final answer
    x = 3,664.38

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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.