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Finding the Fourth Proportional to 3,556.74, 4,907.15 and 1,984.53

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Solution

The fourth proportional to 3,556.74, 4,907.15 and 1,984.53 is: 2,738.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,556.74 : 4,907.15 = 1,984.53 : x
  2. Step 2: Convert to fraction form
    3,556.74/4,907.15 = 1,984.53/x
  3. Step 3: Cross multiply
    3,556.74x = 4,907.15 × 1,984.53
  4. Step 4: Simplify right side
    3,556.74x = 9,738,376.47
  5. Step 5: Solve for x
    x = 9,738,376.47/3,556.74
  6. Step 6: Final answer
    x = 2,738.01

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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.