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Finding the Fourth Proportional to 4,114.70, 5,676.79 and 2,623.29

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Solution

The fourth proportional to 4,114.70, 5,676.79 and 2,623.29 is: 3,619.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.70 : 5,676.79 = 2,623.29 : x
  2. Step 2: Convert to fraction form
    4,114.70/5,676.79 = 2,623.29/x
  3. Step 3: Cross multiply
    4,114.70x = 5,676.79 × 2,623.29
  4. Step 4: Simplify right side
    4,114.70x = 14,891,866.44
  5. Step 5: Solve for x
    x = 14,891,866.44/4,114.70
  6. Step 6: Final answer
    x = 3,619.19

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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.