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Finding the Fourth Proportional to 5,202.38, 7,804.05 and 1,692.24

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Solution

The fourth proportional to 5,202.38, 7,804.05 and 1,692.24 is: 2,538.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.38 : 7,804.05 = 1,692.24 : x
  2. Step 2: Convert to fraction form
    5,202.38/7,804.05 = 1,692.24/x
  3. Step 3: Cross multiply
    5,202.38x = 7,804.05 × 1,692.24
  4. Step 4: Simplify right side
    5,202.38x = 13,206,333.86
  5. Step 5: Solve for x
    x = 13,206,333.86/5,202.38
  6. Step 6: Final answer
    x = 2,538.52

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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.