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Finding the Fourth Proportional to 3,692.31, 5,538.47 and 3,599.37

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Solution

The fourth proportional to 3,692.31, 5,538.47 and 3,599.37 is: 5,399.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.31 : 5,538.47 = 3,599.37 : x
  2. Step 2: Convert to fraction form
    3,692.31/5,538.47 = 3,599.37/x
  3. Step 3: Cross multiply
    3,692.31x = 5,538.47 × 3,599.37
  4. Step 4: Simplify right side
    3,692.31x = 19,935,002.76
  5. Step 5: Solve for x
    x = 19,935,002.76/3,692.31
  6. Step 6: Final answer
    x = 5,399.06

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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.