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Finding the Fourth Proportional to 3,872.16, 5,808.26 and 950.46

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Solution

The fourth proportional to 3,872.16, 5,808.26 and 950.46 is: 1,425.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.16 : 5,808.26 = 950.46 : x
  2. Step 2: Convert to fraction form
    3,872.16/5,808.26 = 950.46/x
  3. Step 3: Cross multiply
    3,872.16x = 5,808.26 × 950.46
  4. Step 4: Simplify right side
    3,872.16x = 5,520,514.05
  5. Step 5: Solve for x
    x = 5,520,514.05/3,872.16
  6. Step 6: Final answer
    x = 1,425.69

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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.