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Finding the Fourth Proportional to 5,796.06, 8,704.82 and 3,024.64

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Solution

The fourth proportional to 5,796.06, 8,704.82 and 3,024.64 is: 4,542.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.06 : 8,704.82 = 3,024.64 : x
  2. Step 2: Convert to fraction form
    5,796.06/8,704.82 = 3,024.64/x
  3. Step 3: Cross multiply
    5,796.06x = 8,704.82 × 3,024.64
  4. Step 4: Simplify right side
    5,796.06x = 26,328,946.76
  5. Step 5: Solve for x
    x = 26,328,946.76/5,796.06
  6. Step 6: Final answer
    x = 4,542.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.