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Finding the Fourth Proportional to 3,640.35, 5,457.69 and 1,692.30

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Solution

The fourth proportional to 3,640.35, 5,457.69 and 1,692.30 is: 2,537.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.35 : 5,457.69 = 1,692.30 : x
  2. Step 2: Convert to fraction form
    3,640.35/5,457.69 = 1,692.30/x
  3. Step 3: Cross multiply
    3,640.35x = 5,457.69 × 1,692.30
  4. Step 4: Simplify right side
    3,640.35x = 9,236,048.79
  5. Step 5: Solve for x
    x = 9,236,048.79/3,640.35
  6. Step 6: Final answer
    x = 2,537.13

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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.