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Finding the Fourth Proportional to 5,742.52, 7,922.76 and 3,224.20

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Solution

The fourth proportional to 5,742.52, 7,922.76 and 3,224.20 is: 4,448.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.52 : 7,922.76 = 3,224.20 : x
  2. Step 2: Convert to fraction form
    5,742.52/7,922.76 = 3,224.20/x
  3. Step 3: Cross multiply
    5,742.52x = 7,922.76 × 3,224.20
  4. Step 4: Simplify right side
    5,742.52x = 25,544,562.79
  5. Step 5: Solve for x
    x = 25,544,562.79/5,742.52
  6. Step 6: Final answer
    x = 4,448.32

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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.