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Finding the Fourth Proportional to 3,692.43, 5,095.38 and 2,200.32

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Solution

The fourth proportional to 3,692.43, 5,095.38 and 2,200.32 is: 3,036.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.43 : 5,095.38 = 2,200.32 : x
  2. Step 2: Convert to fraction form
    3,692.43/5,095.38 = 2,200.32/x
  3. Step 3: Cross multiply
    3,692.43x = 5,095.38 × 2,200.32
  4. Step 4: Simplify right side
    3,692.43x = 11,211,430.04
  5. Step 5: Solve for x
    x = 11,211,430.04/3,692.43
  6. Step 6: Final answer
    x = 3,036.33

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Why These Related Problems?

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