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Finding the Fourth Proportional to 3,500.72, 5,251.26 and 1,420.41

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Solution

The fourth proportional to 3,500.72, 5,251.26 and 1,420.41 is: 2,130.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,500.72 : 5,251.26 = 1,420.41 : x
  2. Step 2: Convert to fraction form
    3,500.72/5,251.26 = 1,420.41/x
  3. Step 3: Cross multiply
    3,500.72x = 5,251.26 × 1,420.41
  4. Step 4: Simplify right side
    3,500.72x = 7,458,942.22
  5. Step 5: Solve for x
    x = 7,458,942.22/3,500.72
  6. Step 6: Final answer
    x = 2,130.69

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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.