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Finding the Fourth Proportional to 4,576.32, 6,865.02 and 3,429.36

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Solution

The fourth proportional to 4,576.32, 6,865.02 and 3,429.36 is: 5,144.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576.32 : 6,865.02 = 3,429.36 : x
  2. Step 2: Convert to fraction form
    4,576.32/6,865.02 = 3,429.36/x
  3. Step 3: Cross multiply
    4,576.32x = 6,865.02 × 3,429.36
  4. Step 4: Simplify right side
    4,576.32x = 23,542,624.99
  5. Step 5: Solve for x
    x = 23,542,624.99/4,576.32
  6. Step 6: Final answer
    x = 5,144.44

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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.