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Finding the Fourth Proportional to 8,982.28, 13,472.38 and 3,435.50

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Solution

The fourth proportional to 8,982.28, 13,472.38 and 3,435.50 is: 5,152.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,982.28 : 13,472.38 = 3,435.50 : x
  2. Step 2: Convert to fraction form
    8,982.28/13,472.38 = 3,435.50/x
  3. Step 3: Cross multiply
    8,982.28x = 13,472.38 × 3,435.50
  4. Step 4: Simplify right side
    8,982.28x = 46,284,361.49
  5. Step 5: Solve for x
    x = 46,284,361.49/8,982.28
  6. Step 6: Final answer
    x = 5,152.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.