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Finding the Fourth Proportional to 4,843.54, 7,255 and 3,660.51

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Solution

The fourth proportional to 4,843.54, 7,255 and 3,660.51 is: 5,482.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.54 : 7,255 = 3,660.51 : x
  2. Step 2: Convert to fraction form
    4,843.54/7,255 = 3,660.51/x
  3. Step 3: Cross multiply
    4,843.54x = 7,255 × 3,660.51
  4. Step 4: Simplify right side
    4,843.54x = 26,557,000.05
  5. Step 5: Solve for x
    x = 26,557,000.05/4,843.54
  6. Step 6: Final answer
    x = 5,482.97

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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.