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Finding the Fourth Proportional to 3,737.97, 5,158.63 and 2,059.38

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Solution

The fourth proportional to 3,737.97, 5,158.63 and 2,059.38 is: 2,842.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.97 : 5,158.63 = 2,059.38 : x
  2. Step 2: Convert to fraction form
    3,737.97/5,158.63 = 2,059.38/x
  3. Step 3: Cross multiply
    3,737.97x = 5,158.63 × 2,059.38
  4. Step 4: Simplify right side
    3,737.97x = 10,623,579.45
  5. Step 5: Solve for x
    x = 10,623,579.45/3,737.97
  6. Step 6: Final answer
    x = 2,842.07

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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.