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Finding the Fourth Proportional to 5,828.22, 8,044.26 and 3,471.66

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Solution

The fourth proportional to 5,828.22, 8,044.26 and 3,471.66 is: 4,791.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.22 : 8,044.26 = 3,471.66 : x
  2. Step 2: Convert to fraction form
    5,828.22/8,044.26 = 3,471.66/x
  3. Step 3: Cross multiply
    5,828.22x = 8,044.26 × 3,471.66
  4. Step 4: Simplify right side
    5,828.22x = 27,926,935.67
  5. Step 5: Solve for x
    x = 27,926,935.67/5,828.22
  6. Step 6: Final answer
    x = 4,791.67

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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.