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Finding the Fourth Proportional to 4,738.95, 6,538.74 and 2,749.25

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Solution

The fourth proportional to 4,738.95, 6,538.74 and 2,749.25 is: 3,793.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.95 : 6,538.74 = 2,749.25 : x
  2. Step 2: Convert to fraction form
    4,738.95/6,538.74 = 2,749.25/x
  3. Step 3: Cross multiply
    4,738.95x = 6,538.74 × 2,749.25
  4. Step 4: Simplify right side
    4,738.95x = 17,976,598.25
  5. Step 5: Solve for x
    x = 17,976,598.25/4,738.95
  6. Step 6: Final answer
    x = 3,793.38

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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.