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Finding the Fourth Proportional to 5,829.96, 8,042.80 and 3,940.88

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Solution

The fourth proportional to 5,829.96, 8,042.80 and 3,940.88 is: 5,436.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.96 : 8,042.80 = 3,940.88 : x
  2. Step 2: Convert to fraction form
    5,829.96/8,042.80 = 3,940.88/x
  3. Step 3: Cross multiply
    5,829.96x = 8,042.80 × 3,940.88
  4. Step 4: Simplify right side
    5,829.96x = 31,695,709.66
  5. Step 5: Solve for x
    x = 31,695,709.66/5,829.96
  6. Step 6: Final answer
    x = 5,436.69

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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.