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Finding the Fourth Proportional to 3,771.66, 5,204.71 and 2,093.14

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Solution

The fourth proportional to 3,771.66, 5,204.71 and 2,093.14 is: 2,888.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.66 : 5,204.71 = 2,093.14 : x
  2. Step 2: Convert to fraction form
    3,771.66/5,204.71 = 2,093.14/x
  3. Step 3: Cross multiply
    3,771.66x = 5,204.71 × 2,093.14
  4. Step 4: Simplify right side
    3,771.66x = 10,894,186.69
  5. Step 5: Solve for x
    x = 10,894,186.69/3,771.66
  6. Step 6: Final answer
    x = 2,888.43

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1.5x scale

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.