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Finding the Fourth Proportional to 5,825.88, 8,736.93 and 1,929.38

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Solution

The fourth proportional to 5,825.88, 8,736.93 and 1,929.38 is: 2,893.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825.88 : 8,736.93 = 1,929.38 : x
  2. Step 2: Convert to fraction form
    5,825.88/8,736.93 = 1,929.38/x
  3. Step 3: Cross multiply
    5,825.88x = 8,736.93 × 1,929.38
  4. Step 4: Simplify right side
    5,825.88x = 16,856,814.32
  5. Step 5: Solve for x
    x = 16,856,814.32/5,825.88
  6. Step 6: Final answer
    x = 2,893.44

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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.