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Finding the Fourth Proportional to 3,906.45, 5,861.70 and 1,715.40

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Solution

The fourth proportional to 3,906.45, 5,861.70 and 1,715.40 is: 2,573.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.45 : 5,861.70 = 1,715.40 : x
  2. Step 2: Convert to fraction form
    3,906.45/5,861.70 = 1,715.40/x
  3. Step 3: Cross multiply
    3,906.45x = 5,861.70 × 1,715.40
  4. Step 4: Simplify right side
    3,906.45x = 10,055,160.18
  5. Step 5: Solve for x
    x = 10,055,160.18/3,906.45
  6. Step 6: Final answer
    x = 2,573.99

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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.