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Finding the Fourth Proportional to 5,849.03, 8,071.82 and 3,580.33

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Solution

The fourth proportional to 5,849.03, 8,071.82 and 3,580.33 is: 4,940.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.03 : 8,071.82 = 3,580.33 : x
  2. Step 2: Convert to fraction form
    5,849.03/8,071.82 = 3,580.33/x
  3. Step 3: Cross multiply
    5,849.03x = 8,071.82 × 3,580.33
  4. Step 4: Simplify right side
    5,849.03x = 28,899,767.22
  5. Step 5: Solve for x
    x = 28,899,767.22/5,849.03
  6. Step 6: Final answer
    x = 4,940.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.