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Finding the Fourth Proportional to 4,844.38, 6,684.42 and 2,855.02

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Solution

The fourth proportional to 4,844.38, 6,684.42 and 2,855.02 is: 3,939.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,844.38 : 6,684.42 = 2,855.02 : x
  2. Step 2: Convert to fraction form
    4,844.38/6,684.42 = 2,855.02/x
  3. Step 3: Cross multiply
    4,844.38x = 6,684.42 × 2,855.02
  4. Step 4: Simplify right side
    4,844.38x = 19,084,152.79
  5. Step 5: Solve for x
    x = 19,084,152.79/4,844.38
  6. Step 6: Final answer
    x = 3,939.44

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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.