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Finding the Fourth Proportional to 5,930.61, 8,889.17 and 1,980.94

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Solution

The fourth proportional to 5,930.61, 8,889.17 and 1,980.94 is: 2,969.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930.61 : 8,889.17 = 1,980.94 : x
  2. Step 2: Convert to fraction form
    5,930.61/8,889.17 = 1,980.94/x
  3. Step 3: Cross multiply
    5,930.61x = 8,889.17 × 1,980.94
  4. Step 4: Simplify right side
    5,930.61x = 17,608,912.42
  5. Step 5: Solve for x
    x = 17,608,912.42/5,930.61
  6. Step 6: Final answer
    x = 2,969.16

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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.