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Finding the Fourth Proportional to 5,310.36, 7,965.36 and 2,023.34

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Solution

The fourth proportional to 5,310.36, 7,965.36 and 2,023.34 is: 3,034.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,310.36 : 7,965.36 = 2,023.34 : x
  2. Step 2: Convert to fraction form
    5,310.36/7,965.36 = 2,023.34/x
  3. Step 3: Cross multiply
    5,310.36x = 7,965.36 × 2,023.34
  4. Step 4: Simplify right side
    5,310.36x = 16,116,591.68
  5. Step 5: Solve for x
    x = 16,116,591.68/5,310.36
  6. Step 6: Final answer
    x = 3,034.93

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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.