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Finding the Fourth Proportional to 3,362, 4,636.05 and 2,035.22

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Solution

The fourth proportional to 3,362, 4,636.05 and 2,035.22 is: 2,806.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,362 : 4,636.05 = 2,035.22 : x
  2. Step 2: Convert to fraction form
    3,362/4,636.05 = 2,035.22/x
  3. Step 3: Cross multiply
    3,362x = 4,636.05 × 2,035.22
  4. Step 4: Simplify right side
    3,362x = 9,435,381.68
  5. Step 5: Solve for x
    x = 9,435,381.68/3,362
  6. Step 6: Final answer
    x = 2,806.48

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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.