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Finding the Fourth Proportional to 3,542.80, 5,313.79 and 945.94

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Solution

The fourth proportional to 3,542.80, 5,313.79 and 945.94 is: 1,418.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.80 : 5,313.79 = 945.94 : x
  2. Step 2: Convert to fraction form
    3,542.80/5,313.79 = 945.94/x
  3. Step 3: Cross multiply
    3,542.80x = 5,313.79 × 945.94
  4. Step 4: Simplify right side
    3,542.80x = 5,026,513.23
  5. Step 5: Solve for x
    x = 5,026,513.23/3,542.80
  6. Step 6: Final answer
    x = 1,418.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.