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Finding the Fourth Proportional to 4,738.59, 6,538.46 and 2,749.10

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Solution

The fourth proportional to 4,738.59, 6,538.46 and 2,749.10 is: 3,793.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.59 : 6,538.46 = 2,749.10 : x
  2. Step 2: Convert to fraction form
    4,738.59/6,538.46 = 2,749.10/x
  3. Step 3: Cross multiply
    4,738.59x = 6,538.46 × 2,749.10
  4. Step 4: Simplify right side
    4,738.59x = 17,974,880.39
  5. Step 5: Solve for x
    x = 17,974,880.39/4,738.59
  6. Step 6: Final answer
    x = 3,793.30

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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.