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Finding the Fourth Proportional to 3,797.63, 5,692.35 and 2,411.62

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Solution

The fourth proportional to 3,797.63, 5,692.35 and 2,411.62 is: 3,614.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.63 : 5,692.35 = 2,411.62 : x
  2. Step 2: Convert to fraction form
    3,797.63/5,692.35 = 2,411.62/x
  3. Step 3: Cross multiply
    3,797.63x = 5,692.35 × 2,411.62
  4. Step 4: Simplify right side
    3,797.63x = 13,727,805.16
  5. Step 5: Solve for x
    x = 13,727,805.16/3,797.63
  6. Step 6: Final answer
    x = 3,614.83

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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.