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Finding the Fourth Proportional to 4,115.07, 5,676.49 and 2,522.49

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Solution

The fourth proportional to 4,115.07, 5,676.49 and 2,522.49 is: 3,479.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,115.07 : 5,676.49 = 2,522.49 : x
  2. Step 2: Convert to fraction form
    4,115.07/5,676.49 = 2,522.49/x
  3. Step 3: Cross multiply
    4,115.07x = 5,676.49 × 2,522.49
  4. Step 4: Simplify right side
    4,115.07x = 14,318,889.26
  5. Step 5: Solve for x
    x = 14,318,889.26/4,115.07
  6. Step 6: Final answer
    x = 3,479.62

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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.