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Finding the Fourth Proportional to 5,815.98, 8,723.97 and 4,092.30

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Solution

The fourth proportional to 5,815.98, 8,723.97 and 4,092.30 is: 6,138.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,815.98 : 8,723.97 = 4,092.30 : x
  2. Step 2: Convert to fraction form
    5,815.98/8,723.97 = 4,092.30/x
  3. Step 3: Cross multiply
    5,815.98x = 8,723.97 × 4,092.30
  4. Step 4: Simplify right side
    5,815.98x = 35,701,102.43
  5. Step 5: Solve for x
    x = 35,701,102.43/5,815.98
  6. Step 6: Final answer
    x = 6,138.45

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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.