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Finding the Fourth Proportional to 3,784.42, 5,677.44 and 3,514.42

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Solution

The fourth proportional to 3,784.42, 5,677.44 and 3,514.42 is: 5,272.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.42 : 5,677.44 = 3,514.42 : x
  2. Step 2: Convert to fraction form
    3,784.42/5,677.44 = 3,514.42/x
  3. Step 3: Cross multiply
    3,784.42x = 5,677.44 × 3,514.42
  4. Step 4: Simplify right side
    3,784.42x = 19,952,908.68
  5. Step 5: Solve for x
    x = 19,952,908.68/3,784.42
  6. Step 6: Final answer
    x = 5,272.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.