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Finding the Fourth Proportional to 3,634.16, 5,450.16 and 1,325.84

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Solution

The fourth proportional to 3,634.16, 5,450.16 and 1,325.84 is: 1,988.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634.16 : 5,450.16 = 1,325.84 : x
  2. Step 2: Convert to fraction form
    3,634.16/5,450.16 = 1,325.84/x
  3. Step 3: Cross multiply
    3,634.16x = 5,450.16 × 1,325.84
  4. Step 4: Simplify right side
    3,634.16x = 7,226,040.13
  5. Step 5: Solve for x
    x = 7,226,040.13/3,634.16
  6. Step 6: Final answer
    x = 1,988.37

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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.