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Finding the Fourth Proportional to 3,664.82, 5,052.84 and 3,074.06

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Solution

The fourth proportional to 3,664.82, 5,052.84 and 3,074.06 is: 4,238.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.82 : 5,052.84 = 3,074.06 : x
  2. Step 2: Convert to fraction form
    3,664.82/5,052.84 = 3,074.06/x
  3. Step 3: Cross multiply
    3,664.82x = 5,052.84 × 3,074.06
  4. Step 4: Simplify right side
    3,664.82x = 15,532,733.33
  5. Step 5: Solve for x
    x = 15,532,733.33/3,664.82
  6. Step 6: Final answer
    x = 4,238.33

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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.