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Finding the Fourth Proportional to 3,371.63, 5,057.44 and 906.24

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Solution

The fourth proportional to 3,371.63, 5,057.44 and 906.24 is: 1,359.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,371.63 : 5,057.44 = 906.24 : x
  2. Step 2: Convert to fraction form
    3,371.63/5,057.44 = 906.24/x
  3. Step 3: Cross multiply
    3,371.63x = 5,057.44 × 906.24
  4. Step 4: Simplify right side
    3,371.63x = 4,583,242.68
  5. Step 5: Solve for x
    x = 4,583,242.68/3,371.63
  6. Step 6: Final answer
    x = 1,359.36

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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.