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Finding the Fourth Proportional to 3,604.30, 5,403.71 and 1,523.91

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Solution

The fourth proportional to 3,604.30, 5,403.71 and 1,523.91 is: 2,284.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.30 : 5,403.71 = 1,523.91 : x
  2. Step 2: Convert to fraction form
    3,604.30/5,403.71 = 1,523.91/x
  3. Step 3: Cross multiply
    3,604.30x = 5,403.71 × 1,523.91
  4. Step 4: Simplify right side
    3,604.30x = 8,234,791.78
  5. Step 5: Solve for x
    x = 8,234,791.78/3,604.30
  6. Step 6: Final answer
    x = 2,284.71

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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.