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Finding the Fourth Proportional to 3,556.12, 4,907.64 and 1,984.18

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Solution

The fourth proportional to 3,556.12, 4,907.64 and 1,984.18 is: 2,738.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,556.12 : 4,907.64 = 1,984.18 : x
  2. Step 2: Convert to fraction form
    3,556.12/4,907.64 = 1,984.18/x
  3. Step 3: Cross multiply
    3,556.12x = 4,907.64 × 1,984.18
  4. Step 4: Simplify right side
    3,556.12x = 9,737,641.14
  5. Step 5: Solve for x
    x = 9,737,641.14/3,556.12
  6. Step 6: Final answer
    x = 2,738.28

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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.