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Finding the Fourth Proportional to 3,496.75, 4,825.53 and 1,924.87

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Solution

The fourth proportional to 3,496.75, 4,825.53 and 1,924.87 is: 2,656.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.75 : 4,825.53 = 1,924.87 : x
  2. Step 2: Convert to fraction form
    3,496.75/4,825.53 = 1,924.87/x
  3. Step 3: Cross multiply
    3,496.75x = 4,825.53 × 1,924.87
  4. Step 4: Simplify right side
    3,496.75x = 9,288,517.93
  5. Step 5: Solve for x
    x = 9,288,517.93/3,496.75
  6. Step 6: Final answer
    x = 2,656.33

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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.