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Finding the Fourth Proportional to 3,542.53, 5,313.66 and 945.45

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Solution

The fourth proportional to 3,542.53, 5,313.66 and 945.45 is: 1,418.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.53 : 5,313.66 = 945.45 : x
  2. Step 2: Convert to fraction form
    3,542.53/5,313.66 = 945.45/x
  3. Step 3: Cross multiply
    3,542.53x = 5,313.66 × 945.45
  4. Step 4: Simplify right side
    3,542.53x = 5,023,799.85
  5. Step 5: Solve for x
    x = 5,023,799.85/3,542.53
  6. Step 6: Final answer
    x = 1,418.14

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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.