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Finding the Fourth Proportional to 3,834.54, 5,750.39 and 2,274.89

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Solution

The fourth proportional to 3,834.54, 5,750.39 and 2,274.89 is: 3,411.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.54 : 5,750.39 = 2,274.89 : x
  2. Step 2: Convert to fraction form
    3,834.54/5,750.39 = 2,274.89/x
  3. Step 3: Cross multiply
    3,834.54x = 5,750.39 × 2,274.89
  4. Step 4: Simplify right side
    3,834.54x = 13,081,481.64
  5. Step 5: Solve for x
    x = 13,081,481.64/3,834.54
  6. Step 6: Final answer
    x = 3,411.49

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1.5x scale

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.