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Finding the Fourth Proportional to 4,604.38, 6,906.41 and 1,484.56

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Solution

The fourth proportional to 4,604.38, 6,906.41 and 1,484.56 is: 2,226.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,604.38 : 6,906.41 = 1,484.56 : x
  2. Step 2: Convert to fraction form
    4,604.38/6,906.41 = 1,484.56/x
  3. Step 3: Cross multiply
    4,604.38x = 6,906.41 × 1,484.56
  4. Step 4: Simplify right side
    4,604.38x = 10,252,980.03
  5. Step 5: Solve for x
    x = 10,252,980.03/4,604.38
  6. Step 6: Final answer
    x = 2,226.79

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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.