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Finding the Fourth Proportional to 3,819.72, 5,272.02 and 3,523.26

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Solution

The fourth proportional to 3,819.72, 5,272.02 and 3,523.26 is: 4,862.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,819.72 : 5,272.02 = 3,523.26 : x
  2. Step 2: Convert to fraction form
    3,819.72/5,272.02 = 3,523.26/x
  3. Step 3: Cross multiply
    3,819.72x = 5,272.02 × 3,523.26
  4. Step 4: Simplify right side
    3,819.72x = 18,574,697.19
  5. Step 5: Solve for x
    x = 18,574,697.19/3,819.72
  6. Step 6: Final answer
    x = 4,862.84

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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.