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Finding the Fourth Proportional to 3,712.01, 5,122.45 and 2,033.38

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Solution

The fourth proportional to 3,712.01, 5,122.45 and 2,033.38 is: 2,805.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.01 : 5,122.45 = 2,033.38 : x
  2. Step 2: Convert to fraction form
    3,712.01/5,122.45 = 2,033.38/x
  3. Step 3: Cross multiply
    3,712.01x = 5,122.45 × 2,033.38
  4. Step 4: Simplify right side
    3,712.01x = 10,415,861.77
  5. Step 5: Solve for x
    x = 10,415,861.77/3,712.01
  6. Step 6: Final answer
    x = 2,805.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.