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Finding the Fourth Proportional to 5,972.94, 8,242.38 and 3,320.37

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Solution

The fourth proportional to 5,972.94, 8,242.38 and 3,320.37 is: 4,581.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.94 : 8,242.38 = 3,320.37 : x
  2. Step 2: Convert to fraction form
    5,972.94/8,242.38 = 3,320.37/x
  3. Step 3: Cross multiply
    5,972.94x = 8,242.38 × 3,320.37
  4. Step 4: Simplify right side
    5,972.94x = 27,367,751.28
  5. Step 5: Solve for x
    x = 27,367,751.28/5,972.94
  6. Step 6: Final answer
    x = 4,581.96

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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.