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Finding the Fourth Proportional to 5,930.62, 8,184.01 and 3,540.98

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Solution

The fourth proportional to 5,930.62, 8,184.01 and 3,540.98 is: 4,886.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930.62 : 8,184.01 = 3,540.98 : x
  2. Step 2: Convert to fraction form
    5,930.62/8,184.01 = 3,540.98/x
  3. Step 3: Cross multiply
    5,930.62x = 8,184.01 × 3,540.98
  4. Step 4: Simplify right side
    5,930.62x = 28,979,443.94
  5. Step 5: Solve for x
    x = 28,979,443.94/5,930.62
  6. Step 6: Final answer
    x = 4,886.41

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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.