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Finding the Fourth Proportional to 3,423.09, 5,133 and 1,474.50

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Solution

The fourth proportional to 3,423.09, 5,133 and 1,474.50 is: 2,211.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.09 : 5,133 = 1,474.50 : x
  2. Step 2: Convert to fraction form
    3,423.09/5,133 = 1,474.50/x
  3. Step 3: Cross multiply
    3,423.09x = 5,133 × 1,474.50
  4. Step 4: Simplify right side
    3,423.09x = 7,568,608.50
  5. Step 5: Solve for x
    x = 7,568,608.50/3,423.09
  6. Step 6: Final answer
    x = 2,211.05

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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.