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Finding the Fourth Proportional to 3,208.72, 4,800.64 and 2,839.36

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Solution

The fourth proportional to 3,208.72, 4,800.64 and 2,839.36 is: 4,248.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.72 : 4,800.64 = 2,839.36 : x
  2. Step 2: Convert to fraction form
    3,208.72/4,800.64 = 2,839.36/x
  3. Step 3: Cross multiply
    3,208.72x = 4,800.64 × 2,839.36
  4. Step 4: Simplify right side
    3,208.72x = 13,630,745.19
  5. Step 5: Solve for x
    x = 13,630,745.19/3,208.72
  6. Step 6: Final answer
    x = 4,248.03

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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.