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Finding the Fourth Proportional to 5,692.50, 7,839.30 and 4,889.37

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Solution

The fourth proportional to 5,692.50, 7,839.30 and 4,889.37 is: 6,733.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.50 : 7,839.30 = 4,889.37 : x
  2. Step 2: Convert to fraction form
    5,692.50/7,839.30 = 4,889.37/x
  3. Step 3: Cross multiply
    5,692.50x = 7,839.30 × 4,889.37
  4. Step 4: Simplify right side
    5,692.50x = 38,329,238.24
  5. Step 5: Solve for x
    x = 38,329,238.24/5,692.50
  6. Step 6: Final answer
    x = 6,733.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.