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Finding the Fourth Proportional to 4,047, 6,073.02 and 1,738.50

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Solution

The fourth proportional to 4,047, 6,073.02 and 1,738.50 is: 2,608.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,047 : 6,073.02 = 1,738.50 : x
  2. Step 2: Convert to fraction form
    4,047/6,073.02 = 1,738.50/x
  3. Step 3: Cross multiply
    4,047x = 6,073.02 × 1,738.50
  4. Step 4: Simplify right side
    4,047x = 10,557,945.27
  5. Step 5: Solve for x
    x = 10,557,945.27/4,047
  6. Step 6: Final answer
    x = 2,608.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.