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Finding the Fourth Proportional to 5,232.54, 7,220.72 and 2,842.42

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Solution

The fourth proportional to 5,232.54, 7,220.72 and 2,842.42 is: 3,922.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232.54 : 7,220.72 = 2,842.42 : x
  2. Step 2: Convert to fraction form
    5,232.54/7,220.72 = 2,842.42/x
  3. Step 3: Cross multiply
    5,232.54x = 7,220.72 × 2,842.42
  4. Step 4: Simplify right side
    5,232.54x = 20,524,313.76
  5. Step 5: Solve for x
    x = 20,524,313.76/5,232.54
  6. Step 6: Final answer
    x = 3,922.44

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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.