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Finding the Fourth Proportional to 3,542.70, 5,313.48 and 2,226.54

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Solution

The fourth proportional to 3,542.70, 5,313.48 and 2,226.54 is: 3,339.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.70 : 5,313.48 = 2,226.54 : x
  2. Step 2: Convert to fraction form
    3,542.70/5,313.48 = 2,226.54/x
  3. Step 3: Cross multiply
    3,542.70x = 5,313.48 × 2,226.54
  4. Step 4: Simplify right side
    3,542.70x = 11,830,675.76
  5. Step 5: Solve for x
    x = 11,830,675.76/3,542.70
  6. Step 6: Final answer
    x = 3,339.45

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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.