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Finding the Fourth Proportional to 5,728.06, 7,845.49 and 5,391.82

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Solution

The fourth proportional to 5,728.06, 7,845.49 and 5,391.82 is: 7,384.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.06 : 7,845.49 = 5,391.82 : x
  2. Step 2: Convert to fraction form
    5,728.06/7,845.49 = 5,391.82/x
  3. Step 3: Cross multiply
    5,728.06x = 7,845.49 × 5,391.82
  4. Step 4: Simplify right side
    5,728.06x = 42,301,469.89
  5. Step 5: Solve for x
    x = 42,301,469.89/5,728.06
  6. Step 6: Final answer
    x = 7,384.96

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.