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Finding the Fourth Proportional to 3,542.45, 5,313.27 and 945.59

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Solution

The fourth proportional to 3,542.45, 5,313.27 and 945.59 is: 1,418.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.45 : 5,313.27 = 945.59 : x
  2. Step 2: Convert to fraction form
    3,542.45/5,313.27 = 945.59/x
  3. Step 3: Cross multiply
    3,542.45x = 5,313.27 × 945.59
  4. Step 4: Simplify right side
    3,542.45x = 5,024,174.98
  5. Step 5: Solve for x
    x = 5,024,174.98/3,542.45
  6. Step 6: Final answer
    x = 1,418.28

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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.