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Finding the Fourth Proportional to 5,849.22, 8,762.25 and 3,071.73

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Solution

The fourth proportional to 5,849.22, 8,762.25 and 3,071.73 is: 4,601.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.22 : 8,762.25 = 3,071.73 : x
  2. Step 2: Convert to fraction form
    5,849.22/8,762.25 = 3,071.73/x
  3. Step 3: Cross multiply
    5,849.22x = 8,762.25 × 3,071.73
  4. Step 4: Simplify right side
    5,849.22x = 26,915,266.19
  5. Step 5: Solve for x
    x = 26,915,266.19/5,849.22
  6. Step 6: Final answer
    x = 4,601.51

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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.