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Finding the Fourth Proportional to 3,467.48, 5,208.42 and 2,843.96

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Solution

The fourth proportional to 3,467.48, 5,208.42 and 2,843.96 is: 4,271.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.48 : 5,208.42 = 2,843.96 : x
  2. Step 2: Convert to fraction form
    3,467.48/5,208.42 = 2,843.96/x
  3. Step 3: Cross multiply
    3,467.48x = 5,208.42 × 2,843.96
  4. Step 4: Simplify right side
    3,467.48x = 14,812,538.14
  5. Step 5: Solve for x
    x = 14,812,538.14/3,467.48
  6. Step 6: Final answer
    x = 4,271.85

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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.