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Finding the Fourth Proportional to 6,552.41, 8,991.46 and 5,958.41

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Solution

The fourth proportional to 6,552.41, 8,991.46 and 5,958.41 is: 8,176.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,552.41 : 8,991.46 = 5,958.41 : x
  2. Step 2: Convert to fraction form
    6,552.41/8,991.46 = 5,958.41/x
  3. Step 3: Cross multiply
    6,552.41x = 8,991.46 × 5,958.41
  4. Step 4: Simplify right side
    6,552.41x = 53,574,767.67
  5. Step 5: Solve for x
    x = 53,574,767.67/6,552.41
  6. Step 6: Final answer
    x = 8,176.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.