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Finding the Fourth Proportional to 3,638.46, 5,458.78 and 1,692.30

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Solution

The fourth proportional to 3,638.46, 5,458.78 and 1,692.30 is: 2,538.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.46 : 5,458.78 = 1,692.30 : x
  2. Step 2: Convert to fraction form
    3,638.46/5,458.78 = 1,692.30/x
  3. Step 3: Cross multiply
    3,638.46x = 5,458.78 × 1,692.30
  4. Step 4: Simplify right side
    3,638.46x = 9,237,893.39
  5. Step 5: Solve for x
    x = 9,237,893.39/3,638.46
  6. Step 6: Final answer
    x = 2,538.96

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