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Finding the Fourth Proportional to 3,771.84, 5,158.96 and 3,711.36

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Solution

The fourth proportional to 3,771.84, 5,158.96 and 3,711.36 is: 5,076.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.84 : 5,158.96 = 3,711.36 : x
  2. Step 2: Convert to fraction form
    3,771.84/5,158.96 = 3,711.36/x
  3. Step 3: Cross multiply
    3,771.84x = 5,158.96 × 3,711.36
  4. Step 4: Simplify right side
    3,771.84x = 19,146,757.79
  5. Step 5: Solve for x
    x = 19,146,757.79/3,771.84
  6. Step 6: Final answer
    x = 5,076.24

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.