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Finding the Fourth Proportional to 4,166.48, 5,744.04 and 3,222.56

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Solution

The fourth proportional to 4,166.48, 5,744.04 and 3,222.56 is: 4,442.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.48 : 5,744.04 = 3,222.56 : x
  2. Step 2: Convert to fraction form
    4,166.48/5,744.04 = 3,222.56/x
  3. Step 3: Cross multiply
    4,166.48x = 5,744.04 × 3,222.56
  4. Step 4: Simplify right side
    4,166.48x = 18,510,513.54
  5. Step 5: Solve for x
    x = 18,510,513.54/4,166.48
  6. Step 6: Final answer
    x = 4,442.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.