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Finding the Fourth Proportional to 3,906.28, 5,861.40 and 1,714.40

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Solution

The fourth proportional to 3,906.28, 5,861.40 and 1,714.40 is: 2,572.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.28 : 5,861.40 = 1,714.40 : x
  2. Step 2: Convert to fraction form
    3,906.28/5,861.40 = 1,714.40/x
  3. Step 3: Cross multiply
    3,906.28x = 5,861.40 × 1,714.40
  4. Step 4: Simplify right side
    3,906.28x = 10,048,784.16
  5. Step 5: Solve for x
    x = 10,048,784.16/3,906.28
  6. Step 6: Final answer
    x = 2,572.47

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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.