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Finding the Fourth Proportional to 5,714.28, 8,571.69 and 1,765.62

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Solution

The fourth proportional to 5,714.28, 8,571.69 and 1,765.62 is: 2,648.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.28 : 8,571.69 = 1,765.62 : x
  2. Step 2: Convert to fraction form
    5,714.28/8,571.69 = 1,765.62/x
  3. Step 3: Cross multiply
    5,714.28x = 8,571.69 × 1,765.62
  4. Step 4: Simplify right side
    5,714.28x = 15,134,347.30
  5. Step 5: Solve for x
    x = 15,134,347.30/5,714.28
  6. Step 6: Final answer
    x = 2,648.51

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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.