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Finding the Fourth Proportional to 3,397.86, 5,097.87 and 1,936.62

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Solution

The fourth proportional to 3,397.86, 5,097.87 and 1,936.62 is: 2,905.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.86 : 5,097.87 = 1,936.62 : x
  2. Step 2: Convert to fraction form
    3,397.86/5,097.87 = 1,936.62/x
  3. Step 3: Cross multiply
    3,397.86x = 5,097.87 × 1,936.62
  4. Step 4: Simplify right side
    3,397.86x = 9,872,637.00
  5. Step 5: Solve for x
    x = 9,872,637.00/3,397.86
  6. Step 6: Final answer
    x = 2,905.55

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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.