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Finding the Fourth Proportional to 3,868.94, 5,824.32 and 3,524.51

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Solution

The fourth proportional to 3,868.94, 5,824.32 and 3,524.51 is: 5,305.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.94 : 5,824.32 = 3,524.51 : x
  2. Step 2: Convert to fraction form
    3,868.94/5,824.32 = 3,524.51/x
  3. Step 3: Cross multiply
    3,868.94x = 5,824.32 × 3,524.51
  4. Step 4: Simplify right side
    3,868.94x = 20,527,844.96
  5. Step 5: Solve for x
    x = 20,527,844.96/3,868.94
  6. Step 6: Final answer
    x = 5,305.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.