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Finding the Fourth Proportional to 3,624.42, 5,414.19 and 2,576.19

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Solution

The fourth proportional to 3,624.42, 5,414.19 and 2,576.19 is: 3,848.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,624.42 : 5,414.19 = 2,576.19 : x
  2. Step 2: Convert to fraction form
    3,624.42/5,414.19 = 2,576.19/x
  3. Step 3: Cross multiply
    3,624.42x = 5,414.19 × 2,576.19
  4. Step 4: Simplify right side
    3,624.42x = 13,947,982.14
  5. Step 5: Solve for x
    x = 13,947,982.14/3,624.42
  6. Step 6: Final answer
    x = 3,848.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.