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Finding the Fourth Proportional to 3,692.94, 5,541.03 and 1,744.62

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Solution

The fourth proportional to 3,692.94, 5,541.03 and 1,744.62 is: 2,617.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.94 : 5,541.03 = 1,744.62 : x
  2. Step 2: Convert to fraction form
    3,692.94/5,541.03 = 1,744.62/x
  3. Step 3: Cross multiply
    3,692.94x = 5,541.03 × 1,744.62
  4. Step 4: Simplify right side
    3,692.94x = 9,666,991.76
  5. Step 5: Solve for x
    x = 9,666,991.76/3,692.94
  6. Step 6: Final answer
    x = 2,617.70

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Why These Related Problems?

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