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Finding the Fourth Proportional to 5,450.77, 7,524.32 and 3,684.77

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Solution

The fourth proportional to 5,450.77, 7,524.32 and 3,684.77 is: 5,086.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,450.77 : 7,524.32 = 3,684.77 : x
  2. Step 2: Convert to fraction form
    5,450.77/7,524.32 = 3,684.77/x
  3. Step 3: Cross multiply
    5,450.77x = 7,524.32 × 3,684.77
  4. Step 4: Simplify right side
    5,450.77x = 27,725,388.61
  5. Step 5: Solve for x
    x = 27,725,388.61/5,450.77
  6. Step 6: Final answer
    x = 5,086.51

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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.