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Finding the Fourth Proportional to 5,138.94, 7,708.41 and 1,676.19

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Solution

The fourth proportional to 5,138.94, 7,708.41 and 1,676.19 is: 2,514.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.94 : 7,708.41 = 1,676.19 : x
  2. Step 2: Convert to fraction form
    5,138.94/7,708.41 = 1,676.19/x
  3. Step 3: Cross multiply
    5,138.94x = 7,708.41 × 1,676.19
  4. Step 4: Simplify right side
    5,138.94x = 12,920,751.38
  5. Step 5: Solve for x
    x = 12,920,751.38/5,138.94
  6. Step 6: Final answer
    x = 2,514.28

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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.