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Finding the Fourth Proportional to 5,931.68, 8,186.10 and 3,279.11

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Solution

The fourth proportional to 5,931.68, 8,186.10 and 3,279.11 is: 4,525.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,931.68 : 8,186.10 = 3,279.11 : x
  2. Step 2: Convert to fraction form
    5,931.68/8,186.10 = 3,279.11/x
  3. Step 3: Cross multiply
    5,931.68x = 8,186.10 × 3,279.11
  4. Step 4: Simplify right side
    5,931.68x = 26,843,122.37
  5. Step 5: Solve for x
    x = 26,843,122.37/5,931.68
  6. Step 6: Final answer
    x = 4,525.38

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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.