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Finding the Fourth Proportional to 3,872.26, 5,809.11 and 1,277.02

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Solution

The fourth proportional to 3,872.26, 5,809.11 and 1,277.02 is: 1,915.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.26 : 5,809.11 = 1,277.02 : x
  2. Step 2: Convert to fraction form
    3,872.26/5,809.11 = 1,277.02/x
  3. Step 3: Cross multiply
    3,872.26x = 5,809.11 × 1,277.02
  4. Step 4: Simplify right side
    3,872.26x = 7,418,349.65
  5. Step 5: Solve for x
    x = 7,418,349.65/3,872.26
  6. Step 6: Final answer
    x = 1,915.77

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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.