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Finding the Fourth Proportional to 5,829.49, 8,745.10 and 2,080.98

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Solution

The fourth proportional to 5,829.49, 8,745.10 and 2,080.98 is: 3,121.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.49 : 8,745.10 = 2,080.98 : x
  2. Step 2: Convert to fraction form
    5,829.49/8,745.10 = 2,080.98/x
  3. Step 3: Cross multiply
    5,829.49x = 8,745.10 × 2,080.98
  4. Step 4: Simplify right side
    5,829.49x = 18,198,373.00
  5. Step 5: Solve for x
    x = 18,198,373.00/5,829.49
  6. Step 6: Final answer
    x = 3,121.78

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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.