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Finding the Fourth Proportional to 5,471.94, 8,208.99 and 2,009.22

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Solution

The fourth proportional to 5,471.94, 8,208.99 and 2,009.22 is: 3,014.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.94 : 8,208.99 = 2,009.22 : x
  2. Step 2: Convert to fraction form
    5,471.94/8,208.99 = 2,009.22/x
  3. Step 3: Cross multiply
    5,471.94x = 8,208.99 × 2,009.22
  4. Step 4: Simplify right side
    5,471.94x = 16,493,666.89
  5. Step 5: Solve for x
    x = 16,493,666.89/5,471.94
  6. Step 6: Final answer
    x = 3,014.23

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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.