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Finding the Fourth Proportional to 5,945.82, 8,205.75 and 5,064.54

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Solution

The fourth proportional to 5,945.82, 8,205.75 and 5,064.54 is: 6,989.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,945.82 : 8,205.75 = 5,064.54 : x
  2. Step 2: Convert to fraction form
    5,945.82/8,205.75 = 5,064.54/x
  3. Step 3: Cross multiply
    5,945.82x = 8,205.75 × 5,064.54
  4. Step 4: Simplify right side
    5,945.82x = 41,558,349.11
  5. Step 5: Solve for x
    x = 41,558,349.11/5,945.82
  6. Step 6: Final answer
    x = 6,989.51

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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.