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Finding the Fourth Proportional to 3,577.96, 4,937.52 and 1,984.56

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Solution

The fourth proportional to 3,577.96, 4,937.52 and 1,984.56 is: 2,738.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.96 : 4,937.52 = 1,984.56 : x
  2. Step 2: Convert to fraction form
    3,577.96/4,937.52 = 1,984.56/x
  3. Step 3: Cross multiply
    3,577.96x = 4,937.52 × 1,984.56
  4. Step 4: Simplify right side
    3,577.96x = 9,798,804.69
  5. Step 5: Solve for x
    x = 9,798,804.69/3,577.96
  6. Step 6: Final answer
    x = 2,738.66

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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.