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Finding the Fourth Proportional to 3,362.04, 4,640.04 and 2,035.80

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Solution

The fourth proportional to 3,362.04, 4,640.04 and 2,035.80 is: 2,809.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,362.04 : 4,640.04 = 2,035.80 : x
  2. Step 2: Convert to fraction form
    3,362.04/4,640.04 = 2,035.80/x
  3. Step 3: Cross multiply
    3,362.04x = 4,640.04 × 2,035.80
  4. Step 4: Simplify right side
    3,362.04x = 9,446,193.43
  5. Step 5: Solve for x
    x = 9,446,193.43/3,362.04
  6. Step 6: Final answer
    x = 2,809.66

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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.