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Finding the Fourth Proportional to 3,692.43, 5,542.29 and 1,746

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Solution

The fourth proportional to 3,692.43, 5,542.29 and 1,746 is: 2,620.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.43 : 5,542.29 = 1,746 : x
  2. Step 2: Convert to fraction form
    3,692.43/5,542.29 = 1,746/x
  3. Step 3: Cross multiply
    3,692.43x = 5,542.29 × 1,746
  4. Step 4: Simplify right side
    3,692.43x = 9,676,838.34
  5. Step 5: Solve for x
    x = 9,676,838.34/3,692.43
  6. Step 6: Final answer
    x = 2,620.72

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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.