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Finding the Fourth Proportional to 5,714.58, 8,576.72 and 2,254.26

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Solution

The fourth proportional to 5,714.58, 8,576.72 and 2,254.26 is: 3,383.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.58 : 8,576.72 = 2,254.26 : x
  2. Step 2: Convert to fraction form
    5,714.58/8,576.72 = 2,254.26/x
  3. Step 3: Cross multiply
    5,714.58x = 8,576.72 × 2,254.26
  4. Step 4: Simplify right side
    5,714.58x = 19,334,156.83
  5. Step 5: Solve for x
    x = 19,334,156.83/5,714.58
  6. Step 6: Final answer
    x = 3,383.30

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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.