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Finding the Fourth Proportional to 5,542.22, 7,648.23 and 3,024.31

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Solution

The fourth proportional to 5,542.22, 7,648.23 and 3,024.31 is: 4,173.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,542.22 : 7,648.23 = 3,024.31 : x
  2. Step 2: Convert to fraction form
    5,542.22/7,648.23 = 3,024.31/x
  3. Step 3: Cross multiply
    5,542.22x = 7,648.23 × 3,024.31
  4. Step 4: Simplify right side
    5,542.22x = 23,130,610.69
  5. Step 5: Solve for x
    x = 23,130,610.69/5,542.22
  6. Step 6: Final answer
    x = 4,173.53

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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.