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Finding the Fourth Proportional to 3,364.36, 5,052.03 and 2,074.03

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Solution

The fourth proportional to 3,364.36, 5,052.03 and 2,074.03 is: 3,114.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.36 : 5,052.03 = 2,074.03 : x
  2. Step 2: Convert to fraction form
    3,364.36/5,052.03 = 2,074.03/x
  3. Step 3: Cross multiply
    3,364.36x = 5,052.03 × 2,074.03
  4. Step 4: Simplify right side
    3,364.36x = 10,478,061.78
  5. Step 5: Solve for x
    x = 10,478,061.78/3,364.36
  6. Step 6: Final answer
    x = 3,114.43

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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.