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Finding the Fourth Proportional to 3,404.80, 5,094.24 and 2,252.80

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Solution

The fourth proportional to 3,404.80, 5,094.24 and 2,252.80 is: 3,370.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.80 : 5,094.24 = 2,252.80 : x
  2. Step 2: Convert to fraction form
    3,404.80/5,094.24 = 2,252.80/x
  3. Step 3: Cross multiply
    3,404.80x = 5,094.24 × 2,252.80
  4. Step 4: Simplify right side
    3,404.80x = 11,476,303.87
  5. Step 5: Solve for x
    x = 11,476,303.87/3,404.80
  6. Step 6: Final answer
    x = 3,370.62

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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.