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Finding the Fourth Proportional to 3,209.88, 4,817.57 and 2,287.70

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Solution

The fourth proportional to 3,209.88, 4,817.57 and 2,287.70 is: 3,433.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.88 : 4,817.57 = 2,287.70 : x
  2. Step 2: Convert to fraction form
    3,209.88/4,817.57 = 2,287.70/x
  3. Step 3: Cross multiply
    3,209.88x = 4,817.57 × 2,287.70
  4. Step 4: Simplify right side
    3,209.88x = 11,021,119.36
  5. Step 5: Solve for x
    x = 11,021,119.36/3,209.88
  6. Step 6: Final answer
    x = 3,433.50

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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.