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Finding the Fourth Proportional to 5,980.38, 8,971.64 and 1,819.92

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Solution

The fourth proportional to 5,980.38, 8,971.64 and 1,819.92 is: 2,730.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,980.38 : 8,971.64 = 1,819.92 : x
  2. Step 2: Convert to fraction form
    5,980.38/8,971.64 = 1,819.92/x
  3. Step 3: Cross multiply
    5,980.38x = 8,971.64 × 1,819.92
  4. Step 4: Simplify right side
    5,980.38x = 16,327,642.85
  5. Step 5: Solve for x
    x = 16,327,642.85/5,980.38
  6. Step 6: Final answer
    x = 2,730.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.