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Finding the Fourth Proportional to 3,834.90, 5,724.36 and 3,290.58

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Solution

The fourth proportional to 3,834.90, 5,724.36 and 3,290.58 is: 4,911.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.90 : 5,724.36 = 3,290.58 : x
  2. Step 2: Convert to fraction form
    3,834.90/5,724.36 = 3,290.58/x
  3. Step 3: Cross multiply
    3,834.90x = 5,724.36 × 3,290.58
  4. Step 4: Simplify right side
    3,834.90x = 18,836,464.53
  5. Step 5: Solve for x
    x = 18,836,464.53/3,834.90
  6. Step 6: Final answer
    x = 4,911.85

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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.