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Finding the Fourth Proportional to 5,309.98, 7,965.91 and 2,023.38

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Solution

The fourth proportional to 5,309.98, 7,965.91 and 2,023.38 is: 3,035.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.98 : 7,965.91 = 2,023.38 : x
  2. Step 2: Convert to fraction form
    5,309.98/7,965.91 = 2,023.38/x
  3. Step 3: Cross multiply
    5,309.98x = 7,965.91 × 2,023.38
  4. Step 4: Simplify right side
    5,309.98x = 16,118,062.98
  5. Step 5: Solve for x
    x = 16,118,062.98/5,309.98
  6. Step 6: Final answer
    x = 3,035.43

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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.