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Finding the Fourth Proportional to 3,817.62, 5,721.03 and 2,258.01

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Solution

The fourth proportional to 3,817.62, 5,721.03 and 2,258.01 is: 3,383.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.62 : 5,721.03 = 2,258.01 : x
  2. Step 2: Convert to fraction form
    3,817.62/5,721.03 = 2,258.01/x
  3. Step 3: Cross multiply
    3,817.62x = 5,721.03 × 2,258.01
  4. Step 4: Simplify right side
    3,817.62x = 12,918,142.95
  5. Step 5: Solve for x
    x = 12,918,142.95/3,817.62
  6. Step 6: Final answer
    x = 3,383.82

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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.