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Finding the Fourth Proportional to 5,929.90, 8,181.22 and 3,377.40

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Solution

The fourth proportional to 5,929.90, 8,181.22 and 3,377.40 is: 4,659.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,929.90 : 8,181.22 = 3,377.40 : x
  2. Step 2: Convert to fraction form
    5,929.90/8,181.22 = 3,377.40/x
  3. Step 3: Cross multiply
    5,929.90x = 8,181.22 × 3,377.40
  4. Step 4: Simplify right side
    5,929.90x = 27,631,252.43
  5. Step 5: Solve for x
    x = 27,631,252.43/5,929.90
  6. Step 6: Final answer
    x = 4,659.65

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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.