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Finding the Fourth Proportional to 5,380.52, 7,424.73 and 3,023.01

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Solution

The fourth proportional to 5,380.52, 7,424.73 and 3,023.01 is: 4,171.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,380.52 : 7,424.73 = 3,023.01 : x
  2. Step 2: Convert to fraction form
    5,380.52/7,424.73 = 3,023.01/x
  3. Step 3: Cross multiply
    5,380.52x = 7,424.73 × 3,023.01
  4. Step 4: Simplify right side
    5,380.52x = 22,445,033.04
  5. Step 5: Solve for x
    x = 22,445,033.04/5,380.52
  6. Step 6: Final answer
    x = 4,171.54

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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.