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Finding the Fourth Proportional to 3,821.68, 5,732.58 and 1,741.60

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Solution

The fourth proportional to 3,821.68, 5,732.58 and 1,741.60 is: 2,612.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.68 : 5,732.58 = 1,741.60 : x
  2. Step 2: Convert to fraction form
    3,821.68/5,732.58 = 1,741.60/x
  3. Step 3: Cross multiply
    3,821.68x = 5,732.58 × 1,741.60
  4. Step 4: Simplify right side
    3,821.68x = 9,983,861.33
  5. Step 5: Solve for x
    x = 9,983,861.33/3,821.68
  6. Step 6: Final answer
    x = 2,612.43

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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.