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Finding the Fourth Proportional to 3,467.54, 4,785.46 and 2,052.38

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Solution

The fourth proportional to 3,467.54, 4,785.46 and 2,052.38 is: 2,832.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.54 : 4,785.46 = 2,052.38 : x
  2. Step 2: Convert to fraction form
    3,467.54/4,785.46 = 2,052.38/x
  3. Step 3: Cross multiply
    3,467.54x = 4,785.46 × 2,052.38
  4. Step 4: Simplify right side
    3,467.54x = 9,821,582.39
  5. Step 5: Solve for x
    x = 9,821,582.39/3,467.54
  6. Step 6: Final answer
    x = 2,832.44

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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.