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Finding the Fourth Proportional to 5,694.58, 8,542.77 and 2,407.69

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Solution

The fourth proportional to 5,694.58, 8,542.77 and 2,407.69 is: 3,611.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.58 : 8,542.77 = 2,407.69 : x
  2. Step 2: Convert to fraction form
    5,694.58/8,542.77 = 2,407.69/x
  3. Step 3: Cross multiply
    5,694.58x = 8,542.77 × 2,407.69
  4. Step 4: Simplify right side
    5,694.58x = 20,568,341.90
  5. Step 5: Solve for x
    x = 20,568,341.90/5,694.58
  6. Step 6: Final answer
    x = 3,611.92

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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.