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Finding the Fourth Proportional to 3,523.53, 5,285.45 and 2,274.82

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Solution

The fourth proportional to 3,523.53, 5,285.45 and 2,274.82 is: 3,412.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.53 : 5,285.45 = 2,274.82 : x
  2. Step 2: Convert to fraction form
    3,523.53/5,285.45 = 2,274.82/x
  3. Step 3: Cross multiply
    3,523.53x = 5,285.45 × 2,274.82
  4. Step 4: Simplify right side
    3,523.53x = 12,023,439.84
  5. Step 5: Solve for x
    x = 12,023,439.84/3,523.53
  6. Step 6: Final answer
    x = 3,412.32

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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.