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Finding the Fourth Proportional to 3,894.26, 5,360.44 and 3,396

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Solution

The fourth proportional to 3,894.26, 5,360.44 and 3,396 is: 4,674.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.26 : 5,360.44 = 3,396 : x
  2. Step 2: Convert to fraction form
    3,894.26/5,360.44 = 3,396/x
  3. Step 3: Cross multiply
    3,894.26x = 5,360.44 × 3,396
  4. Step 4: Simplify right side
    3,894.26x = 18,204,054.24
  5. Step 5: Solve for x
    x = 18,204,054.24/3,894.26
  6. Step 6: Final answer
    x = 4,674.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.