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Finding the Fourth Proportional to 2,728.06, 3,764.26 and 2,589.68

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Solution

The fourth proportional to 2,728.06, 3,764.26 and 2,589.68 is: 3,573.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.06 : 3,764.26 = 2,589.68 : x
  2. Step 2: Convert to fraction form
    2,728.06/3,764.26 = 2,589.68/x
  3. Step 3: Cross multiply
    2,728.06x = 3,764.26 × 2,589.68
  4. Step 4: Simplify right side
    2,728.06x = 9,748,228.84
  5. Step 5: Solve for x
    x = 9,748,228.84/2,728.06
  6. Step 6: Final answer
    x = 3,573.32

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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.