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Finding the Fourth Proportional to 3,556.46, 4,907.94 and 1,984.66

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Solution

The fourth proportional to 3,556.46, 4,907.94 and 1,984.66 is: 2,738.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,556.46 : 4,907.94 = 1,984.66 : x
  2. Step 2: Convert to fraction form
    3,556.46/4,907.94 = 1,984.66/x
  3. Step 3: Cross multiply
    3,556.46x = 4,907.94 × 1,984.66
  4. Step 4: Simplify right side
    3,556.46x = 9,740,592.20
  5. Step 5: Solve for x
    x = 9,740,592.20/3,556.46
  6. Step 6: Final answer
    x = 2,738.84

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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.