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Finding the Fourth Proportional to 3,914.58, 5,872.24 and 1,141.19

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Solution

The fourth proportional to 3,914.58, 5,872.24 and 1,141.19 is: 1,711.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.58 : 5,872.24 = 1,141.19 : x
  2. Step 2: Convert to fraction form
    3,914.58/5,872.24 = 1,141.19/x
  3. Step 3: Cross multiply
    3,914.58x = 5,872.24 × 1,141.19
  4. Step 4: Simplify right side
    3,914.58x = 6,701,315.06
  5. Step 5: Solve for x
    x = 6,701,315.06/3,914.58
  6. Step 6: Final answer
    x = 1,711.89

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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.