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Finding the Fourth Proportional to 5,959.09, 8,930.67 and 3,142.18

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Solution

The fourth proportional to 5,959.09, 8,930.67 and 3,142.18 is: 4,709.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,959.09 : 8,930.67 = 3,142.18 : x
  2. Step 2: Convert to fraction form
    5,959.09/8,930.67 = 3,142.18/x
  3. Step 3: Cross multiply
    5,959.09x = 8,930.67 × 3,142.18
  4. Step 4: Simplify right side
    5,959.09x = 28,061,750.33
  5. Step 5: Solve for x
    x = 28,061,750.33/5,959.09
  6. Step 6: Final answer
    x = 4,709.07

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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.