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Finding the Fourth Proportional to 4,750.82, 6,540.06 and 4,083.80

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Solution

The fourth proportional to 4,750.82, 6,540.06 and 4,083.80 is: 5,621.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,750.82 : 6,540.06 = 4,083.80 : x
  2. Step 2: Convert to fraction form
    4,750.82/6,540.06 = 4,083.80/x
  3. Step 3: Cross multiply
    4,750.82x = 6,540.06 × 4,083.80
  4. Step 4: Simplify right side
    4,750.82x = 26,708,297.03
  5. Step 5: Solve for x
    x = 26,708,297.03/4,750.82
  6. Step 6: Final answer
    x = 5,621.83

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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.