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Finding the Fourth Proportional to 5,797.38, 8,000.38 and 3,313.38

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Solution

The fourth proportional to 5,797.38, 8,000.38 and 3,313.38 is: 4,572.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.38 : 8,000.38 = 3,313.38 : x
  2. Step 2: Convert to fraction form
    5,797.38/8,000.38 = 3,313.38/x
  3. Step 3: Cross multiply
    5,797.38x = 8,000.38 × 3,313.38
  4. Step 4: Simplify right side
    5,797.38x = 26,508,259.08
  5. Step 5: Solve for x
    x = 26,508,259.08/5,797.38
  6. Step 6: Final answer
    x = 4,572.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.