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Finding the Fourth Proportional to 4,164.99, 5,747.70 and 2,276.61

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Solution

The fourth proportional to 4,164.99, 5,747.70 and 2,276.61 is: 3,141.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.99 : 5,747.70 = 2,276.61 : x
  2. Step 2: Convert to fraction form
    4,164.99/5,747.70 = 2,276.61/x
  3. Step 3: Cross multiply
    4,164.99x = 5,747.70 × 2,276.61
  4. Step 4: Simplify right side
    4,164.99x = 13,085,271.30
  5. Step 5: Solve for x
    x = 13,085,271.30/4,164.99
  6. Step 6: Final answer
    x = 3,141.73

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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.