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Finding the Fourth Proportional to 5,975.90, 8,965.23 and 2,026.94

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Solution

The fourth proportional to 5,975.90, 8,965.23 and 2,026.94 is: 3,040.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,975.90 : 8,965.23 = 2,026.94 : x
  2. Step 2: Convert to fraction form
    5,975.90/8,965.23 = 2,026.94/x
  3. Step 3: Cross multiply
    5,975.90x = 8,965.23 × 2,026.94
  4. Step 4: Simplify right side
    5,975.90x = 18,171,998.11
  5. Step 5: Solve for x
    x = 18,171,998.11/5,975.90
  6. Step 6: Final answer
    x = 3,040.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.