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Finding the Fourth Proportional to 3,496.22, 4,824.76 and 2,004.16

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Solution

The fourth proportional to 3,496.22, 4,824.76 and 2,004.16 is: 2,765.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.22 : 4,824.76 = 2,004.16 : x
  2. Step 2: Convert to fraction form
    3,496.22/4,824.76 = 2,004.16/x
  3. Step 3: Cross multiply
    3,496.22x = 4,824.76 × 2,004.16
  4. Step 4: Simplify right side
    3,496.22x = 9,669,591.00
  5. Step 5: Solve for x
    x = 9,669,591.00/3,496.22
  6. Step 6: Final answer
    x = 2,765.73

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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.