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Finding the Fourth Proportional to 5,723.82, 7,893.75 and 3,930.48

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Solution

The fourth proportional to 5,723.82, 7,893.75 and 3,930.48 is: 5,420.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,723.82 : 7,893.75 = 3,930.48 : x
  2. Step 2: Convert to fraction form
    5,723.82/7,893.75 = 3,930.48/x
  3. Step 3: Cross multiply
    5,723.82x = 7,893.75 × 3,930.48
  4. Step 4: Simplify right side
    5,723.82x = 31,026,226.50
  5. Step 5: Solve for x
    x = 31,026,226.50/5,723.82
  6. Step 6: Final answer
    x = 5,420.55

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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.