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Finding the Fourth Proportional to 5,694.51, 8,542.77 and 1,745.68

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Solution

The fourth proportional to 5,694.51, 8,542.77 and 1,745.68 is: 2,618.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.51 : 8,542.77 = 1,745.68 : x
  2. Step 2: Convert to fraction form
    5,694.51/8,542.77 = 1,745.68/x
  3. Step 3: Cross multiply
    5,694.51x = 8,542.77 × 1,745.68
  4. Step 4: Simplify right side
    5,694.51x = 14,912,900.02
  5. Step 5: Solve for x
    x = 14,912,900.02/5,694.51
  6. Step 6: Final answer
    x = 2,618.82

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Why These Related Problems?

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