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Finding the Fourth Proportional to 3,221.55, 4,832.27 and 913.05

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Solution

The fourth proportional to 3,221.55, 4,832.27 and 913.05 is: 1,369.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.55 : 4,832.27 = 913.05 : x
  2. Step 2: Convert to fraction form
    3,221.55/4,832.27 = 913.05/x
  3. Step 3: Cross multiply
    3,221.55x = 4,832.27 × 913.05
  4. Step 4: Simplify right side
    3,221.55x = 4,412,082.24
  5. Step 5: Solve for x
    x = 4,412,082.24/3,221.55
  6. Step 6: Final answer
    x = 1,369.55

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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.