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Finding the Fourth Proportional to 5,043.54, 6,954.04 and 3,274.50

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Solution

The fourth proportional to 5,043.54, 6,954.04 and 3,274.50 is: 4,514.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,043.54 : 6,954.04 = 3,274.50 : x
  2. Step 2: Convert to fraction form
    5,043.54/6,954.04 = 3,274.50/x
  3. Step 3: Cross multiply
    5,043.54x = 6,954.04 × 3,274.50
  4. Step 4: Simplify right side
    5,043.54x = 22,771,003.98
  5. Step 5: Solve for x
    x = 22,771,003.98/5,043.54
  6. Step 6: Final answer
    x = 4,514.89

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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.