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Finding the Fourth Proportional to 5,980.38, 8,965.44 and 2,280

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Solution

The fourth proportional to 5,980.38, 8,965.44 and 2,280 is: 3,418.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,980.38 : 8,965.44 = 2,280 : x
  2. Step 2: Convert to fraction form
    5,980.38/8,965.44 = 2,280/x
  3. Step 3: Cross multiply
    5,980.38x = 8,965.44 × 2,280
  4. Step 4: Simplify right side
    5,980.38x = 20,441,203.20
  5. Step 5: Solve for x
    x = 20,441,203.20/5,980.38
  6. Step 6: Final answer
    x = 3,418.04

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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.