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Finding the Fourth Proportional to 3,496.42, 4,825.11 and 1,924.48

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Solution

The fourth proportional to 3,496.42, 4,825.11 and 1,924.48 is: 2,655.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.42 : 4,825.11 = 1,924.48 : x
  2. Step 2: Convert to fraction form
    3,496.42/4,825.11 = 1,924.48/x
  3. Step 3: Cross multiply
    3,496.42x = 4,825.11 × 1,924.48
  4. Step 4: Simplify right side
    3,496.42x = 9,285,827.69
  5. Step 5: Solve for x
    x = 9,285,827.69/3,496.42
  6. Step 6: Final answer
    x = 2,655.81

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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.