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Finding the Fourth Proportional to 4,624.31, 6,951.50 and 3,709.87

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Solution

The fourth proportional to 4,624.31, 6,951.50 and 3,709.87 is: 5,576.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,624.31 : 6,951.50 = 3,709.87 : x
  2. Step 2: Convert to fraction form
    4,624.31/6,951.50 = 3,709.87/x
  3. Step 3: Cross multiply
    4,624.31x = 6,951.50 × 3,709.87
  4. Step 4: Simplify right side
    4,624.31x = 25,789,134.65
  5. Step 5: Solve for x
    x = 25,789,134.65/4,624.31
  6. Step 6: Final answer
    x = 5,576.86

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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.