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Finding the Fourth Proportional to 5,694.55, 8,542.29 and 1,745.68

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Solution

The fourth proportional to 5,694.55, 8,542.29 and 1,745.68 is: 2,618.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.55 : 8,542.29 = 1,745.68 : x
  2. Step 2: Convert to fraction form
    5,694.55/8,542.29 = 1,745.68/x
  3. Step 3: Cross multiply
    5,694.55x = 8,542.29 × 1,745.68
  4. Step 4: Simplify right side
    5,694.55x = 14,912,104.81
  5. Step 5: Solve for x
    x = 14,912,104.81/5,694.55
  6. Step 6: Final answer
    x = 2,618.66

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1.5x scale

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.