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Finding the Fourth Proportional to 5,677.66, 8,505.74 and 3,204.97

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Solution

The fourth proportional to 5,677.66, 8,505.74 and 3,204.97 is: 4,801.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.66 : 8,505.74 = 3,204.97 : x
  2. Step 2: Convert to fraction form
    5,677.66/8,505.74 = 3,204.97/x
  3. Step 3: Cross multiply
    5,677.66x = 8,505.74 × 3,204.97
  4. Step 4: Simplify right side
    5,677.66x = 27,260,628.28
  5. Step 5: Solve for x
    x = 27,260,628.28/5,677.66
  6. Step 6: Final answer
    x = 4,801.38

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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.