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Finding the Fourth Proportional to 3,847.65, 5,308.34 and 2,522.09

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Solution

The fourth proportional to 3,847.65, 5,308.34 and 2,522.09 is: 3,479.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.65 : 5,308.34 = 2,522.09 : x
  2. Step 2: Convert to fraction form
    3,847.65/5,308.34 = 2,522.09/x
  3. Step 3: Cross multiply
    3,847.65x = 5,308.34 × 2,522.09
  4. Step 4: Simplify right side
    3,847.65x = 13,388,082.03
  5. Step 5: Solve for x
    x = 13,388,082.03/3,847.65
  6. Step 6: Final answer
    x = 3,479.55

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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.