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Finding the Fourth Proportional to 5,825.61, 8,040.43 and 5,469.54

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Solution

The fourth proportional to 5,825.61, 8,040.43 and 5,469.54 is: 7,548.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825.61 : 8,040.43 = 5,469.54 : x
  2. Step 2: Convert to fraction form
    5,825.61/8,040.43 = 5,469.54/x
  3. Step 3: Cross multiply
    5,825.61x = 8,040.43 × 5,469.54
  4. Step 4: Simplify right side
    5,825.61x = 43,977,439.83
  5. Step 5: Solve for x
    x = 43,977,439.83/5,825.61
  6. Step 6: Final answer
    x = 7,548.98

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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.