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Finding the Fourth Proportional to 5,714.44, 8,564.36 and 3,768.04

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Solution

The fourth proportional to 5,714.44, 8,564.36 and 3,768.04 is: 5,647.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.44 : 8,564.36 = 3,768.04 : x
  2. Step 2: Convert to fraction form
    5,714.44/8,564.36 = 3,768.04/x
  3. Step 3: Cross multiply
    5,714.44x = 8,564.36 × 3,768.04
  4. Step 4: Simplify right side
    5,714.44x = 32,270,851.05
  5. Step 5: Solve for x
    x = 32,270,851.05/5,714.44
  6. Step 6: Final answer
    x = 5,647.25

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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.