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Finding the Fourth Proportional to 5,457.54, 8,186.31 and 1,993.98

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Solution

The fourth proportional to 5,457.54, 8,186.31 and 1,993.98 is: 2,990.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,457.54 : 8,186.31 = 1,993.98 : x
  2. Step 2: Convert to fraction form
    5,457.54/8,186.31 = 1,993.98/x
  3. Step 3: Cross multiply
    5,457.54x = 8,186.31 × 1,993.98
  4. Step 4: Simplify right side
    5,457.54x = 16,323,338.41
  5. Step 5: Solve for x
    x = 16,323,338.41/5,457.54
  6. Step 6: Final answer
    x = 2,990.97

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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.