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Finding the Fourth Proportional to 3,542.66, 5,313.85 and 945.57

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Solution

The fourth proportional to 3,542.66, 5,313.85 and 945.57 is: 1,418.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.66 : 5,313.85 = 945.57 : x
  2. Step 2: Convert to fraction form
    3,542.66/5,313.85 = 945.57/x
  3. Step 3: Cross multiply
    3,542.66x = 5,313.85 × 945.57
  4. Step 4: Simplify right side
    3,542.66x = 5,024,614.78
  5. Step 5: Solve for x
    x = 5,024,614.78/3,542.66
  6. Step 6: Final answer
    x = 1,418.32

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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.