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Finding the Fourth Proportional to 5,945.48, 8,208.77 and 5,313.98

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Solution

The fourth proportional to 5,945.48, 8,208.77 and 5,313.98 is: 7,336.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,945.48 : 8,208.77 = 5,313.98 : x
  2. Step 2: Convert to fraction form
    5,945.48/8,208.77 = 5,313.98/x
  3. Step 3: Cross multiply
    5,945.48x = 8,208.77 × 5,313.98
  4. Step 4: Simplify right side
    5,945.48x = 43,621,239.60
  5. Step 5: Solve for x
    x = 43,621,239.60/5,945.48
  6. Step 6: Final answer
    x = 7,336.87

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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.