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Finding the Fourth Proportional to 3,542.20, 5,313.52 and 1,077.20

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Solution

The fourth proportional to 3,542.20, 5,313.52 and 1,077.20 is: 1,615.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.20 : 5,313.52 = 1,077.20 : x
  2. Step 2: Convert to fraction form
    3,542.20/5,313.52 = 1,077.20/x
  3. Step 3: Cross multiply
    3,542.20x = 5,313.52 × 1,077.20
  4. Step 4: Simplify right side
    3,542.20x = 5,723,751.37
  5. Step 5: Solve for x
    x = 5,723,751.37/3,542.20
  6. Step 6: Final answer
    x = 1,615.87

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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.