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Finding the Fourth Proportional to 5,411.21, 7,469.28 and 3,836.57

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Solution

The fourth proportional to 5,411.21, 7,469.28 and 3,836.57 is: 5,295.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,411.21 : 7,469.28 = 3,836.57 : x
  2. Step 2: Convert to fraction form
    5,411.21/7,469.28 = 3,836.57/x
  3. Step 3: Cross multiply
    5,411.21x = 7,469.28 × 3,836.57
  4. Step 4: Simplify right side
    5,411.21x = 28,656,378.22
  5. Step 5: Solve for x
    x = 28,656,378.22/5,411.21
  6. Step 6: Final answer
    x = 5,295.75

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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.