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Finding the Fourth Proportional to 4,624.25, 6,951.41 and 3,709.81

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Solution

The fourth proportional to 4,624.25, 6,951.41 and 3,709.81 is: 5,576.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,624.25 : 6,951.41 = 3,709.81 : x
  2. Step 2: Convert to fraction form
    4,624.25/6,951.41 = 3,709.81/x
  3. Step 3: Cross multiply
    4,624.25x = 6,951.41 × 3,709.81
  4. Step 4: Simplify right side
    4,624.25x = 25,788,374.40
  5. Step 5: Solve for x
    x = 25,788,374.40/4,624.25
  6. Step 6: Final answer
    x = 5,576.78

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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.