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Finding the Fourth Proportional to 5,460.88, 8,192.84 and 1,998.48

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Solution

The fourth proportional to 5,460.88, 8,192.84 and 1,998.48 is: 2,998.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,460.88 : 8,192.84 = 1,998.48 : x
  2. Step 2: Convert to fraction form
    5,460.88/8,192.84 = 1,998.48/x
  3. Step 3: Cross multiply
    5,460.88x = 8,192.84 × 1,998.48
  4. Step 4: Simplify right side
    5,460.88x = 16,373,226.88
  5. Step 5: Solve for x
    x = 16,373,226.88/5,460.88
  6. Step 6: Final answer
    x = 2,998.28

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Double scale
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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.