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Finding the Fourth Proportional to 5,119.68, 7,676.77 and 1,830.98

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Solution

The fourth proportional to 5,119.68, 7,676.77 and 1,830.98 is: 2,745.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,119.68 : 7,676.77 = 1,830.98 : x
  2. Step 2: Convert to fraction form
    5,119.68/7,676.77 = 1,830.98/x
  3. Step 3: Cross multiply
    5,119.68x = 7,676.77 × 1,830.98
  4. Step 4: Simplify right side
    5,119.68x = 14,056,012.33
  5. Step 5: Solve for x
    x = 14,056,012.33/5,119.68
  6. Step 6: Final answer
    x = 2,745.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.