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Finding the Fourth Proportional to 3,496.74, 4,825.48 and 2,004.63

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Solution

The fourth proportional to 3,496.74, 4,825.48 and 2,004.63 is: 2,766.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.74 : 4,825.48 = 2,004.63 : x
  2. Step 2: Convert to fraction form
    3,496.74/4,825.48 = 2,004.63/x
  3. Step 3: Cross multiply
    3,496.74x = 4,825.48 × 2,004.63
  4. Step 4: Simplify right side
    3,496.74x = 9,673,301.97
  5. Step 5: Solve for x
    x = 9,673,301.97/3,496.74
  6. Step 6: Final answer
    x = 2,766.38

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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.