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Finding the Fourth Proportional to 4,738.78, 6,539.42 and 2,749.53

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Solution

The fourth proportional to 4,738.78, 6,539.42 and 2,749.53 is: 3,794.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.78 : 6,539.42 = 2,749.53 : x
  2. Step 2: Convert to fraction form
    4,738.78/6,539.42 = 2,749.53/x
  3. Step 3: Cross multiply
    4,738.78x = 6,539.42 × 2,749.53
  4. Step 4: Simplify right side
    4,738.78x = 17,980,331.47
  5. Step 5: Solve for x
    x = 17,980,331.47/4,738.78
  6. Step 6: Final answer
    x = 3,794.30

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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.