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Finding the Fourth Proportional to 5,490.99, 8,234.33 and 1,980.32

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Solution

The fourth proportional to 5,490.99, 8,234.33 and 1,980.32 is: 2,969.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,490.99 : 8,234.33 = 1,980.32 : x
  2. Step 2: Convert to fraction form
    5,490.99/8,234.33 = 1,980.32/x
  3. Step 3: Cross multiply
    5,490.99x = 8,234.33 × 1,980.32
  4. Step 4: Simplify right side
    5,490.99x = 16,306,557.31
  5. Step 5: Solve for x
    x = 16,306,557.31/5,490.99
  6. Step 6: Final answer
    x = 2,969.69

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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.