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Finding the Fourth Proportional to 3,903.30, 5,857.23 and 1,711.94

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Solution

The fourth proportional to 3,903.30, 5,857.23 and 1,711.94 is: 2,568.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.30 : 5,857.23 = 1,711.94 : x
  2. Step 2: Convert to fraction form
    3,903.30/5,857.23 = 1,711.94/x
  3. Step 3: Cross multiply
    3,903.30x = 5,857.23 × 1,711.94
  4. Step 4: Simplify right side
    3,903.30x = 10,027,226.33
  5. Step 5: Solve for x
    x = 10,027,226.33/3,903.30
  6. Step 6: Final answer
    x = 2,568.91

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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.