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Finding the Fourth Proportional to 5,841.92, 8,754.96 and 2,140.64

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Solution

The fourth proportional to 5,841.92, 8,754.96 and 2,140.64 is: 3,208.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,841.92 : 8,754.96 = 2,140.64 : x
  2. Step 2: Convert to fraction form
    5,841.92/8,754.96 = 2,140.64/x
  3. Step 3: Cross multiply
    5,841.92x = 8,754.96 × 2,140.64
  4. Step 4: Simplify right side
    5,841.92x = 18,741,217.57
  5. Step 5: Solve for x
    x = 18,741,217.57/5,841.92
  6. Step 6: Final answer
    x = 3,208.06

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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.