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Finding the Fourth Proportional to 5,406.80, 8,117.40 and 3,462.80

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Solution

The fourth proportional to 5,406.80, 8,117.40 and 3,462.80 is: 5,198.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.80 : 8,117.40 = 3,462.80 : x
  2. Step 2: Convert to fraction form
    5,406.80/8,117.40 = 3,462.80/x
  3. Step 3: Cross multiply
    5,406.80x = 8,117.40 × 3,462.80
  4. Step 4: Simplify right side
    5,406.80x = 28,108,932.72
  5. Step 5: Solve for x
    x = 28,108,932.72/5,406.80
  6. Step 6: Final answer
    x = 5,198.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.