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Finding the Fourth Proportional to 3,542.40, 5,313.60 and 945.60

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Solution

The fourth proportional to 3,542.40, 5,313.60 and 945.60 is: 1,418.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.40 : 5,313.60 = 945.60 : x
  2. Step 2: Convert to fraction form
    3,542.40/5,313.60 = 945.60/x
  3. Step 3: Cross multiply
    3,542.40x = 5,313.60 × 945.60
  4. Step 4: Simplify right side
    3,542.40x = 5,024,540.16
  5. Step 5: Solve for x
    x = 5,024,540.16/3,542.40
  6. Step 6: Final answer
    x = 1,418.40

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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.