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Finding the Fourth Proportional to 5,686.14, 7,846.68 and 3,168.26

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Solution

The fourth proportional to 5,686.14, 7,846.68 and 3,168.26 is: 4,372.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.14 : 7,846.68 = 3,168.26 : x
  2. Step 2: Convert to fraction form
    5,686.14/7,846.68 = 3,168.26/x
  3. Step 3: Cross multiply
    5,686.14x = 7,846.68 × 3,168.26
  4. Step 4: Simplify right side
    5,686.14x = 24,860,322.38
  5. Step 5: Solve for x
    x = 24,860,322.38/5,686.14
  6. Step 6: Final answer
    x = 4,372.09

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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.