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Finding the Fourth Proportional to 3,706.38, 5,553.81 and 2,335.50

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Solution

The fourth proportional to 3,706.38, 5,553.81 and 2,335.50 is: 3,499.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.38 : 5,553.81 = 2,335.50 : x
  2. Step 2: Convert to fraction form
    3,706.38/5,553.81 = 2,335.50/x
  3. Step 3: Cross multiply
    3,706.38x = 5,553.81 × 2,335.50
  4. Step 4: Simplify right side
    3,706.38x = 12,970,923.26
  5. Step 5: Solve for x
    x = 12,970,923.26/3,706.38
  6. Step 6: Final answer
    x = 3,499.62

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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.