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Finding the Fourth Proportional to 5,830.20, 8,745.30 and 2,131.20

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Solution

The fourth proportional to 5,830.20, 8,745.30 and 2,131.20 is: 3,196.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.20 : 8,745.30 = 2,131.20 : x
  2. Step 2: Convert to fraction form
    5,830.20/8,745.30 = 2,131.20/x
  3. Step 3: Cross multiply
    5,830.20x = 8,745.30 × 2,131.20
  4. Step 4: Simplify right side
    5,830.20x = 18,637,983.36
  5. Step 5: Solve for x
    x = 18,637,983.36/5,830.20
  6. Step 6: Final answer
    x = 3,196.80

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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.