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Finding the Fourth Proportional to 3,602.26, 5,396.10 and 2,814.94

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Solution

The fourth proportional to 3,602.26, 5,396.10 and 2,814.94 is: 4,216.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.26 : 5,396.10 = 2,814.94 : x
  2. Step 2: Convert to fraction form
    3,602.26/5,396.10 = 2,814.94/x
  3. Step 3: Cross multiply
    3,602.26x = 5,396.10 × 2,814.94
  4. Step 4: Simplify right side
    3,602.26x = 15,189,697.73
  5. Step 5: Solve for x
    x = 15,189,697.73/3,602.26
  6. Step 6: Final answer
    x = 4,216.71

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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.