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Finding the Fourth Proportional to 3,509.49, 4,844.03 and 2,182.44

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Solution

The fourth proportional to 3,509.49, 4,844.03 and 2,182.44 is: 3,012.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.49 : 4,844.03 = 2,182.44 : x
  2. Step 2: Convert to fraction form
    3,509.49/4,844.03 = 2,182.44/x
  3. Step 3: Cross multiply
    3,509.49x = 4,844.03 × 2,182.44
  4. Step 4: Simplify right side
    3,509.49x = 10,571,793.92
  5. Step 5: Solve for x
    x = 10,571,793.92/3,509.49
  6. Step 6: Final answer
    x = 3,012.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.