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Finding the Fourth Proportional to 3,607.38, 5,407.47 and 2,147.22

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Solution

The fourth proportional to 3,607.38, 5,407.47 and 2,147.22 is: 3,218.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.38 : 5,407.47 = 2,147.22 : x
  2. Step 2: Convert to fraction form
    3,607.38/5,407.47 = 2,147.22/x
  3. Step 3: Cross multiply
    3,607.38x = 5,407.47 × 2,147.22
  4. Step 4: Simplify right side
    3,607.38x = 11,611,027.73
  5. Step 5: Solve for x
    x = 11,611,027.73/3,607.38
  6. Step 6: Final answer
    x = 3,218.69

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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.