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Finding the Fourth Proportional to 5,714.32, 8,571.59 and 2,016.47

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Solution

The fourth proportional to 5,714.32, 8,571.59 and 2,016.47 is: 3,024.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.32 : 8,571.59 = 2,016.47 : x
  2. Step 2: Convert to fraction form
    5,714.32/8,571.59 = 2,016.47/x
  3. Step 3: Cross multiply
    5,714.32x = 8,571.59 × 2,016.47
  4. Step 4: Simplify right side
    5,714.32x = 17,284,354.09
  5. Step 5: Solve for x
    x = 17,284,354.09/5,714.32
  6. Step 6: Final answer
    x = 3,024.74

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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.