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Finding the Fourth Proportional to 5,165.24, 7,125.60 and 3,745.82

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Solution

The fourth proportional to 5,165.24, 7,125.60 and 3,745.82 is: 5,167.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.24 : 7,125.60 = 3,745.82 : x
  2. Step 2: Convert to fraction form
    5,165.24/7,125.60 = 3,745.82/x
  3. Step 3: Cross multiply
    5,165.24x = 7,125.60 × 3,745.82
  4. Step 4: Simplify right side
    5,165.24x = 26,691,179.36
  5. Step 5: Solve for x
    x = 26,691,179.36/5,165.24
  6. Step 6: Final answer
    x = 5,167.46

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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.