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Finding the Fourth Proportional to 3,477.72, 4,800.06 and 2,233.56

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Solution

The fourth proportional to 3,477.72, 4,800.06 and 2,233.56 is: 3,082.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.72 : 4,800.06 = 2,233.56 : x
  2. Step 2: Convert to fraction form
    3,477.72/4,800.06 = 2,233.56/x
  3. Step 3: Cross multiply
    3,477.72x = 4,800.06 × 2,233.56
  4. Step 4: Simplify right side
    3,477.72x = 10,721,222.01
  5. Step 5: Solve for x
    x = 10,721,222.01/3,477.72
  6. Step 6: Final answer
    x = 3,082.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.