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Finding the Fourth Proportional to 4,474.46, 6,174 and 2,484.96

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Solution

The fourth proportional to 4,474.46, 6,174 and 2,484.96 is: 3,428.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,474.46 : 6,174 = 2,484.96 : x
  2. Step 2: Convert to fraction form
    4,474.46/6,174 = 2,484.96/x
  3. Step 3: Cross multiply
    4,474.46x = 6,174 × 2,484.96
  4. Step 4: Simplify right side
    4,474.46x = 15,342,143.04
  5. Step 5: Solve for x
    x = 15,342,143.04/4,474.46
  6. Step 6: Final answer
    x = 3,428.83

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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.