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Finding the Fourth Proportional to 3,872.09, 5,343.40 and 2,103.65

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Solution

The fourth proportional to 3,872.09, 5,343.40 and 2,103.65 is: 2,902.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.09 : 5,343.40 = 2,103.65 : x
  2. Step 2: Convert to fraction form
    3,872.09/5,343.40 = 2,103.65/x
  3. Step 3: Cross multiply
    3,872.09x = 5,343.40 × 2,103.65
  4. Step 4: Simplify right side
    3,872.09x = 11,240,643.41
  5. Step 5: Solve for x
    x = 11,240,643.41/3,872.09
  6. Step 6: Final answer
    x = 2,902.99

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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.