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Finding the Fourth Proportional to 5,820.45, 8,736.17 and 3,874.02

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Solution

The fourth proportional to 5,820.45, 8,736.17 and 3,874.02 is: 5,814.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,820.45 : 8,736.17 = 3,874.02 : x
  2. Step 2: Convert to fraction form
    5,820.45/8,736.17 = 3,874.02/x
  3. Step 3: Cross multiply
    5,820.45x = 8,736.17 × 3,874.02
  4. Step 4: Simplify right side
    5,820.45x = 33,844,097.30
  5. Step 5: Solve for x
    x = 33,844,097.30/5,820.45
  6. Step 6: Final answer
    x = 5,814.69

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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.