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Finding the Fourth Proportional to 3,884.69, 5,852.99 and 3,514.97

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Solution

The fourth proportional to 3,884.69, 5,852.99 and 3,514.97 is: 5,295.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.69 : 5,852.99 = 3,514.97 : x
  2. Step 2: Convert to fraction form
    3,884.69/5,852.99 = 3,514.97/x
  3. Step 3: Cross multiply
    3,884.69x = 5,852.99 × 3,514.97
  4. Step 4: Simplify right side
    3,884.69x = 20,573,037.42
  5. Step 5: Solve for x
    x = 20,573,037.42/3,884.69
  6. Step 6: Final answer
    x = 5,295.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.