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Finding the Fourth Proportional to 5,828.94, 8,044.70 and 3,471.08

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Solution

The fourth proportional to 5,828.94, 8,044.70 and 3,471.08 is: 4,790.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.94 : 8,044.70 = 3,471.08 : x
  2. Step 2: Convert to fraction form
    5,828.94/8,044.70 = 3,471.08/x
  3. Step 3: Cross multiply
    5,828.94x = 8,044.70 × 3,471.08
  4. Step 4: Simplify right side
    5,828.94x = 27,923,797.28
  5. Step 5: Solve for x
    x = 27,923,797.28/5,828.94
  6. Step 6: Final answer
    x = 4,790.54

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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.