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Finding the Fourth Proportional to 5,714.37, 8,571.56 and 2,014.65

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Solution

The fourth proportional to 5,714.37, 8,571.56 and 2,014.65 is: 3,021.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.37 : 8,571.56 = 2,014.65 : x
  2. Step 2: Convert to fraction form
    5,714.37/8,571.56 = 2,014.65/x
  3. Step 3: Cross multiply
    5,714.37x = 8,571.56 × 2,014.65
  4. Step 4: Simplify right side
    5,714.37x = 17,268,683.28
  5. Step 5: Solve for x
    x = 17,268,683.28/5,714.37
  6. Step 6: Final answer
    x = 3,021.98

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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.