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Finding the Fourth Proportional to 3,868.09, 5,764.07 and 3,634.34

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Solution

The fourth proportional to 3,868.09, 5,764.07 and 3,634.34 is: 5,415.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.09 : 5,764.07 = 3,634.34 : x
  2. Step 2: Convert to fraction form
    3,868.09/5,764.07 = 3,634.34/x
  3. Step 3: Cross multiply
    3,868.09x = 5,764.07 × 3,634.34
  4. Step 4: Simplify right side
    3,868.09x = 20,948,570.43
  5. Step 5: Solve for x
    x = 20,948,570.43/3,868.09
  6. Step 6: Final answer
    x = 5,415.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.