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Finding the Fourth Proportional to 3,771.52, 5,204.56 and 2,093

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Solution

The fourth proportional to 3,771.52, 5,204.56 and 2,093 is: 2,888.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.52 : 5,204.56 = 2,093 : x
  2. Step 2: Convert to fraction form
    3,771.52/5,204.56 = 2,093/x
  3. Step 3: Cross multiply
    3,771.52x = 5,204.56 × 2,093
  4. Step 4: Simplify right side
    3,771.52x = 10,893,144.08
  5. Step 5: Solve for x
    x = 10,893,144.08/3,771.52
  6. Step 6: Final answer
    x = 2,888.26

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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.