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Finding the Fourth Proportional to 3,401.22, 4,696.45 and 2,771.84

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Solution

The fourth proportional to 3,401.22, 4,696.45 and 2,771.84 is: 3,827.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.22 : 4,696.45 = 2,771.84 : x
  2. Step 2: Convert to fraction form
    3,401.22/4,696.45 = 2,771.84/x
  3. Step 3: Cross multiply
    3,401.22x = 4,696.45 × 2,771.84
  4. Step 4: Simplify right side
    3,401.22x = 13,017,807.97
  5. Step 5: Solve for x
    x = 13,017,807.97/3,401.22
  6. Step 6: Final answer
    x = 3,827.39

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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.