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Finding the Fourth Proportional to 3,644.22, 5,466.24 and 1,562.46

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Solution

The fourth proportional to 3,644.22, 5,466.24 and 1,562.46 is: 2,343.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.22 : 5,466.24 = 1,562.46 : x
  2. Step 2: Convert to fraction form
    3,644.22/5,466.24 = 1,562.46/x
  3. Step 3: Cross multiply
    3,644.22x = 5,466.24 × 1,562.46
  4. Step 4: Simplify right side
    3,644.22x = 8,540,781.35
  5. Step 5: Solve for x
    x = 8,540,781.35/3,644.22
  6. Step 6: Final answer
    x = 2,343.65

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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.