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Finding the Fourth Proportional to 3,625.44, 5,438.16 and 1,434.42

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Solution

The fourth proportional to 3,625.44, 5,438.16 and 1,434.42 is: 2,151.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,625.44 : 5,438.16 = 1,434.42 : x
  2. Step 2: Convert to fraction form
    3,625.44/5,438.16 = 1,434.42/x
  3. Step 3: Cross multiply
    3,625.44x = 5,438.16 × 1,434.42
  4. Step 4: Simplify right side
    3,625.44x = 7,800,605.47
  5. Step 5: Solve for x
    x = 7,800,605.47/3,625.44
  6. Step 6: Final answer
    x = 2,151.63

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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.