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Finding the Fourth Proportional to 5,358.50, 8,027.28 and 3,692.33

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Solution

The fourth proportional to 5,358.50, 8,027.28 and 3,692.33 is: 5,531.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,358.50 : 8,027.28 = 3,692.33 : x
  2. Step 2: Convert to fraction form
    5,358.50/8,027.28 = 3,692.33/x
  3. Step 3: Cross multiply
    5,358.50x = 8,027.28 × 3,692.33
  4. Step 4: Simplify right side
    5,358.50x = 29,639,326.63
  5. Step 5: Solve for x
    x = 29,639,326.63/5,358.50
  6. Step 6: Final answer
    x = 5,531.28

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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.