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Finding the Fourth Proportional to 3,577.89, 4,937.25 and 1,984.48

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Solution

The fourth proportional to 3,577.89, 4,937.25 and 1,984.48 is: 2,738.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.89 : 4,937.25 = 1,984.48 : x
  2. Step 2: Convert to fraction form
    3,577.89/4,937.25 = 1,984.48/x
  3. Step 3: Cross multiply
    3,577.89x = 4,937.25 × 1,984.48
  4. Step 4: Simplify right side
    3,577.89x = 9,797,868.98
  5. Step 5: Solve for x
    x = 9,797,868.98/3,577.89
  6. Step 6: Final answer
    x = 2,738.45

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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.