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Finding the Fourth Proportional to 5,714.55, 8,566.11 and 2,013.75

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Solution

The fourth proportional to 5,714.55, 8,566.11 and 2,013.75 is: 3,018.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.55 : 8,566.11 = 2,013.75 : x
  2. Step 2: Convert to fraction form
    5,714.55/8,566.11 = 2,013.75/x
  3. Step 3: Cross multiply
    5,714.55x = 8,566.11 × 2,013.75
  4. Step 4: Simplify right side
    5,714.55x = 17,250,004.01
  5. Step 5: Solve for x
    x = 17,250,004.01/5,714.55
  6. Step 6: Final answer
    x = 3,018.61

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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.