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Finding the Fourth Proportional to 3,452.60, 4,766.21 and 2,035.84

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Solution

The fourth proportional to 3,452.60, 4,766.21 and 2,035.84 is: 2,810.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.60 : 4,766.21 = 2,035.84 : x
  2. Step 2: Convert to fraction form
    3,452.60/4,766.21 = 2,035.84/x
  3. Step 3: Cross multiply
    3,452.60x = 4,766.21 × 2,035.84
  4. Step 4: Simplify right side
    3,452.60x = 9,703,240.97
  5. Step 5: Solve for x
    x = 9,703,240.97/3,452.60
  6. Step 6: Final answer
    x = 2,810.42

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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.