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Finding the Fourth Proportional to 3,556.50, 4,908 and 1,984.74

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Solution

The fourth proportional to 3,556.50, 4,908 and 1,984.74 is: 2,738.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,556.50 : 4,908 = 1,984.74 : x
  2. Step 2: Convert to fraction form
    3,556.50/4,908 = 1,984.74/x
  3. Step 3: Cross multiply
    3,556.50x = 4,908 × 1,984.74
  4. Step 4: Simplify right side
    3,556.50x = 9,741,103.92
  5. Step 5: Solve for x
    x = 9,741,103.92/3,556.50
  6. Step 6: Final answer
    x = 2,738.96

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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.