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Finding the Fourth Proportional to 3,692.34, 5,538.70 and 3,505.50

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Solution

The fourth proportional to 3,692.34, 5,538.70 and 3,505.50 is: 5,258.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.34 : 5,538.70 = 3,505.50 : x
  2. Step 2: Convert to fraction form
    3,692.34/5,538.70 = 3,505.50/x
  3. Step 3: Cross multiply
    3,692.34x = 5,538.70 × 3,505.50
  4. Step 4: Simplify right side
    3,692.34x = 19,415,912.85
  5. Step 5: Solve for x
    x = 19,415,912.85/3,692.34
  6. Step 6: Final answer
    x = 5,258.43

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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.