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Finding the Fourth Proportional to 5,406.38, 7,462.67 and 3,168.98

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Solution

The fourth proportional to 5,406.38, 7,462.67 and 3,168.98 is: 4,374.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.38 : 7,462.67 = 3,168.98 : x
  2. Step 2: Convert to fraction form
    5,406.38/7,462.67 = 3,168.98/x
  3. Step 3: Cross multiply
    5,406.38x = 7,462.67 × 3,168.98
  4. Step 4: Simplify right side
    5,406.38x = 23,649,051.98
  5. Step 5: Solve for x
    x = 23,649,051.98/5,406.38
  6. Step 6: Final answer
    x = 4,374.29

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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.