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Finding the Fourth Proportional to 3,634.84, 5,452.72 and 3,578.55

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Solution

The fourth proportional to 3,634.84, 5,452.72 and 3,578.55 is: 5,368.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634.84 : 5,452.72 = 3,578.55 : x
  2. Step 2: Convert to fraction form
    3,634.84/5,452.72 = 3,578.55/x
  3. Step 3: Cross multiply
    3,634.84x = 5,452.72 × 3,578.55
  4. Step 4: Simplify right side
    3,634.84x = 19,512,801.76
  5. Step 5: Solve for x
    x = 19,512,801.76/3,634.84
  6. Step 6: Final answer
    x = 5,368.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.