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Finding the Fourth Proportional to 3,771.86, 5,661.27 and 1,924.34

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Solution

The fourth proportional to 3,771.86, 5,661.27 and 1,924.34 is: 2,888.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.86 : 5,661.27 = 1,924.34 : x
  2. Step 2: Convert to fraction form
    3,771.86/5,661.27 = 1,924.34/x
  3. Step 3: Cross multiply
    3,771.86x = 5,661.27 × 1,924.34
  4. Step 4: Simplify right side
    3,771.86x = 10,894,180.01
  5. Step 5: Solve for x
    x = 10,894,180.01/3,771.86
  6. Step 6: Final answer
    x = 2,888.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.