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Finding the Fourth Proportional to 5,714.98, 8,575.01 and 3,634.42

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Solution

The fourth proportional to 5,714.98, 8,575.01 and 3,634.42 is: 5,453.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.98 : 8,575.01 = 3,634.42 : x
  2. Step 2: Convert to fraction form
    5,714.98/8,575.01 = 3,634.42/x
  3. Step 3: Cross multiply
    5,714.98x = 8,575.01 × 3,634.42
  4. Step 4: Simplify right side
    5,714.98x = 31,165,187.84
  5. Step 5: Solve for x
    x = 31,165,187.84/5,714.98
  6. Step 6: Final answer
    x = 5,453.25

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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.