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Finding the Fourth Proportional to 3,692.88, 5,534.46 and 1,745.64

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Solution

The fourth proportional to 3,692.88, 5,534.46 and 1,745.64 is: 2,616.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.88 : 5,534.46 = 1,745.64 : x
  2. Step 2: Convert to fraction form
    3,692.88/5,534.46 = 1,745.64/x
  3. Step 3: Cross multiply
    3,692.88x = 5,534.46 × 1,745.64
  4. Step 4: Simplify right side
    3,692.88x = 9,661,174.75
  5. Step 5: Solve for x
    x = 9,661,174.75/3,692.88
  6. Step 6: Final answer
    x = 2,616.16

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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.