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Finding the Fourth Proportional to 3,913.97, 5,869.11 and 2,270.99

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Solution

The fourth proportional to 3,913.97, 5,869.11 and 2,270.99 is: 3,405.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,913.97 : 5,869.11 = 2,270.99 : x
  2. Step 2: Convert to fraction form
    3,913.97/5,869.11 = 2,270.99/x
  3. Step 3: Cross multiply
    3,913.97x = 5,869.11 × 2,270.99
  4. Step 4: Simplify right side
    3,913.97x = 13,328,660.77
  5. Step 5: Solve for x
    x = 13,328,660.77/3,913.97
  6. Step 6: Final answer
    x = 3,405.41

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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.