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Finding the Fourth Proportional to 5,694.80, 8,543.40 and 2,406.20

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Solution

The fourth proportional to 5,694.80, 8,543.40 and 2,406.20 is: 3,609.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.80 : 8,543.40 = 2,406.20 : x
  2. Step 2: Convert to fraction form
    5,694.80/8,543.40 = 2,406.20/x
  3. Step 3: Cross multiply
    5,694.80x = 8,543.40 × 2,406.20
  4. Step 4: Simplify right side
    5,694.80x = 20,557,129.08
  5. Step 5: Solve for x
    x = 20,557,129.08/5,694.80
  6. Step 6: Final answer
    x = 3,609.81

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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.