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Finding the Fourth Proportional to 3,695.86, 5,538.99 and 1,936.41

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Solution

The fourth proportional to 3,695.86, 5,538.99 and 1,936.41 is: 2,902.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.86 : 5,538.99 = 1,936.41 : x
  2. Step 2: Convert to fraction form
    3,695.86/5,538.99 = 1,936.41/x
  3. Step 3: Cross multiply
    3,695.86x = 5,538.99 × 1,936.41
  4. Step 4: Simplify right side
    3,695.86x = 10,725,762.38
  5. Step 5: Solve for x
    x = 10,725,762.38/3,695.86
  6. Step 6: Final answer
    x = 2,902.10

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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.