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Finding the Fourth Proportional to 5,714.46, 8,566.53 and 2,016.03

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Solution

The fourth proportional to 5,714.46, 8,566.53 and 2,016.03 is: 3,022.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.46 : 8,566.53 = 2,016.03 : x
  2. Step 2: Convert to fraction form
    5,714.46/8,566.53 = 2,016.03/x
  3. Step 3: Cross multiply
    5,714.46x = 8,566.53 × 2,016.03
  4. Step 4: Simplify right side
    5,714.46x = 17,270,381.48
  5. Step 5: Solve for x
    x = 17,270,381.48/5,714.46
  6. Step 6: Final answer
    x = 3,022.22

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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.