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Finding the Fourth Proportional to 3,634.92, 5,453.58 and 1,685.70

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Solution

The fourth proportional to 3,634.92, 5,453.58 and 1,685.70 is: 2,529.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634.92 : 5,453.58 = 1,685.70 : x
  2. Step 2: Convert to fraction form
    3,634.92/5,453.58 = 1,685.70/x
  3. Step 3: Cross multiply
    3,634.92x = 5,453.58 × 1,685.70
  4. Step 4: Simplify right side
    3,634.92x = 9,193,099.81
  5. Step 5: Solve for x
    x = 9,193,099.81/3,634.92
  6. Step 6: Final answer
    x = 2,529.11

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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.