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Finding the Fourth Proportional to 3,771.86, 5,205.08 and 2,093.16

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Solution

The fourth proportional to 3,771.86, 5,205.08 and 2,093.16 is: 2,888.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.86 : 5,205.08 = 2,093.16 : x
  2. Step 2: Convert to fraction form
    3,771.86/5,205.08 = 2,093.16/x
  3. Step 3: Cross multiply
    3,771.86x = 5,205.08 × 2,093.16
  4. Step 4: Simplify right side
    3,771.86x = 10,895,054.79
  5. Step 5: Solve for x
    x = 10,895,054.79/3,771.86
  6. Step 6: Final answer
    x = 2,888.51

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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.