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Finding the Fourth Proportional to 5,790.24, 7,983.36 and 3,924

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Solution

The fourth proportional to 5,790.24, 7,983.36 and 3,924 is: 5,410.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,790.24 : 7,983.36 = 3,924 : x
  2. Step 2: Convert to fraction form
    5,790.24/7,983.36 = 3,924/x
  3. Step 3: Cross multiply
    5,790.24x = 7,983.36 × 3,924
  4. Step 4: Simplify right side
    5,790.24x = 31,326,704.64
  5. Step 5: Solve for x
    x = 31,326,704.64/5,790.24
  6. Step 6: Final answer
    x = 5,410.26

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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.