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Finding the Fourth Proportional to 6,193.80, 8,546.04 and 3,540.78

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Solution

The fourth proportional to 6,193.80, 8,546.04 and 3,540.78 is: 4,885.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.80 : 8,546.04 = 3,540.78 : x
  2. Step 2: Convert to fraction form
    6,193.80/8,546.04 = 3,540.78/x
  3. Step 3: Cross multiply
    6,193.80x = 8,546.04 × 3,540.78
  4. Step 4: Simplify right side
    6,193.80x = 30,259,647.51
  5. Step 5: Solve for x
    x = 30,259,647.51/6,193.80
  6. Step 6: Final answer
    x = 4,885.47

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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.