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Finding the Fourth Proportional to 3,221.42, 4,832.09 and 912.92

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Solution

The fourth proportional to 3,221.42, 4,832.09 and 912.92 is: 1,369.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.42 : 4,832.09 = 912.92 : x
  2. Step 2: Convert to fraction form
    3,221.42/4,832.09 = 912.92/x
  3. Step 3: Cross multiply
    3,221.42x = 4,832.09 × 912.92
  4. Step 4: Simplify right side
    3,221.42x = 4,411,311.60
  5. Step 5: Solve for x
    x = 4,411,311.60/3,221.42
  6. Step 6: Final answer
    x = 1,369.37

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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.