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Finding the Fourth Proportional to 5,930.37, 8,892.54 and 1,980.23

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Solution

The fourth proportional to 5,930.37, 8,892.54 and 1,980.23 is: 2,969.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930.37 : 8,892.54 = 1,980.23 : x
  2. Step 2: Convert to fraction form
    5,930.37/8,892.54 = 1,980.23/x
  3. Step 3: Cross multiply
    5,930.37x = 8,892.54 × 1,980.23
  4. Step 4: Simplify right side
    5,930.37x = 17,609,230.02
  5. Step 5: Solve for x
    x = 17,609,230.02/5,930.37
  6. Step 6: Final answer
    x = 2,969.33

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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.