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Finding the Fourth Proportional to 3,801.60, 5,709.44 and 2,272

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Solution

The fourth proportional to 3,801.60, 5,709.44 and 2,272 is: 3,412.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.60 : 5,709.44 = 2,272 : x
  2. Step 2: Convert to fraction form
    3,801.60/5,709.44 = 2,272/x
  3. Step 3: Cross multiply
    3,801.60x = 5,709.44 × 2,272
  4. Step 4: Simplify right side
    3,801.60x = 12,971,847.68
  5. Step 5: Solve for x
    x = 12,971,847.68/3,801.60
  6. Step 6: Final answer
    x = 3,412.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.