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Finding the Fourth Proportional to 3,797.21, 5,687.84 and 2,409.84

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Solution

The fourth proportional to 3,797.21, 5,687.84 and 2,409.84 is: 3,609.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.21 : 5,687.84 = 2,409.84 : x
  2. Step 2: Convert to fraction form
    3,797.21/5,687.84 = 2,409.84/x
  3. Step 3: Cross multiply
    3,797.21x = 5,687.84 × 2,409.84
  4. Step 4: Simplify right side
    3,797.21x = 13,706,784.35
  5. Step 5: Solve for x
    x = 13,706,784.35/3,797.21
  6. Step 6: Final answer
    x = 3,609.70

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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.