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Finding the Fourth Proportional to 3,692.44, 5,539.57 and 1,095.38

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Solution

The fourth proportional to 3,692.44, 5,539.57 and 1,095.38 is: 1,643.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.44 : 5,539.57 = 1,095.38 : x
  2. Step 2: Convert to fraction form
    3,692.44/5,539.57 = 1,095.38/x
  3. Step 3: Cross multiply
    3,692.44x = 5,539.57 × 1,095.38
  4. Step 4: Simplify right side
    3,692.44x = 6,067,934.19
  5. Step 5: Solve for x
    x = 6,067,934.19/3,692.44
  6. Step 6: Final answer
    x = 1,643.34

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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.