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Finding the Fourth Proportional to 3,365.99, 5,049.79 and 1,057.49

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Solution

The fourth proportional to 3,365.99, 5,049.79 and 1,057.49 is: 1,586.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,365.99 : 5,049.79 = 1,057.49 : x
  2. Step 2: Convert to fraction form
    3,365.99/5,049.79 = 1,057.49/x
  3. Step 3: Cross multiply
    3,365.99x = 5,049.79 × 1,057.49
  4. Step 4: Simplify right side
    3,365.99x = 5,340,102.43
  5. Step 5: Solve for x
    x = 5,340,102.43/3,365.99
  6. Step 6: Final answer
    x = 1,586.49

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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.