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Finding the Fourth Proportional to 5,714.20, 8,571.49 and 1,965.94

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Solution

The fourth proportional to 5,714.20, 8,571.49 and 1,965.94 is: 2,948.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.20 : 8,571.49 = 1,965.94 : x
  2. Step 2: Convert to fraction form
    5,714.20/8,571.49 = 1,965.94/x
  3. Step 3: Cross multiply
    5,714.20x = 8,571.49 × 1,965.94
  4. Step 4: Simplify right side
    5,714.20x = 16,851,025.22
  5. Step 5: Solve for x
    x = 16,851,025.22/5,714.20
  6. Step 6: Final answer
    x = 2,948.97

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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.