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Finding the Fourth Proportional to 3,670.27, 5,064.89 and 1,991.61

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Solution

The fourth proportional to 3,670.27, 5,064.89 and 1,991.61 is: 2,748.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.27 : 5,064.89 = 1,991.61 : x
  2. Step 2: Convert to fraction form
    3,670.27/5,064.89 = 1,991.61/x
  3. Step 3: Cross multiply
    3,670.27x = 5,064.89 × 1,991.61
  4. Step 4: Simplify right side
    3,670.27x = 10,087,285.57
  5. Step 5: Solve for x
    x = 10,087,285.57/3,670.27
  6. Step 6: Final answer
    x = 2,748.38

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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.