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Finding the Fourth Proportional to 3,563.84, 4,940.90 and 3,367.28

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Solution

The fourth proportional to 3,563.84, 4,940.90 and 3,367.28 is: 4,668.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.84 : 4,940.90 = 3,367.28 : x
  2. Step 2: Convert to fraction form
    3,563.84/4,940.90 = 3,367.28/x
  3. Step 3: Cross multiply
    3,563.84x = 4,940.90 × 3,367.28
  4. Step 4: Simplify right side
    3,563.84x = 16,637,393.75
  5. Step 5: Solve for x
    x = 16,637,393.75/3,563.84
  6. Step 6: Final answer
    x = 4,668.39

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.