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Finding the Fourth Proportional to 5,473.78, 8,212.56 and 3,005.44

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Solution

The fourth proportional to 5,473.78, 8,212.56 and 3,005.44 is: 4,509.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,473.78 : 8,212.56 = 3,005.44 : x
  2. Step 2: Convert to fraction form
    5,473.78/8,212.56 = 3,005.44/x
  3. Step 3: Cross multiply
    5,473.78x = 8,212.56 × 3,005.44
  4. Step 4: Simplify right side
    5,473.78x = 24,682,356.33
  5. Step 5: Solve for x
    x = 24,682,356.33/5,473.78
  6. Step 6: Final answer
    x = 4,509.20

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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.