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Finding the Fourth Proportional to 5,714.64, 8,571.24 and 2,015.82

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Solution

The fourth proportional to 5,714.64, 8,571.24 and 2,015.82 is: 3,023.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.64 : 8,571.24 = 2,015.82 : x
  2. Step 2: Convert to fraction form
    5,714.64/8,571.24 = 2,015.82/x
  3. Step 3: Cross multiply
    5,714.64x = 8,571.24 × 2,015.82
  4. Step 4: Simplify right side
    5,714.64x = 17,278,077.02
  5. Step 5: Solve for x
    x = 17,278,077.02/5,714.64
  6. Step 6: Final answer
    x = 3,023.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.