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Finding the Fourth Proportional to 3,771.79, 5,204.44 and 2,355.23

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Solution

The fourth proportional to 3,771.79, 5,204.44 and 2,355.23 is: 3,249.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.79 : 5,204.44 = 2,355.23 : x
  2. Step 2: Convert to fraction form
    3,771.79/5,204.44 = 2,355.23/x
  3. Step 3: Cross multiply
    3,771.79x = 5,204.44 × 2,355.23
  4. Step 4: Simplify right side
    3,771.79x = 12,257,653.22
  5. Step 5: Solve for x
    x = 12,257,653.22/3,771.79
  6. Step 6: Final answer
    x = 3,249.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.