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Finding the Fourth Proportional to 3,872.24, 5,808.35 and 950.51

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Solution

The fourth proportional to 3,872.24, 5,808.35 and 950.51 is: 1,425.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.24 : 5,808.35 = 950.51 : x
  2. Step 2: Convert to fraction form
    3,872.24/5,808.35 = 950.51/x
  3. Step 3: Cross multiply
    3,872.24x = 5,808.35 × 950.51
  4. Step 4: Simplify right side
    3,872.24x = 5,520,860.96
  5. Step 5: Solve for x
    x = 5,520,860.96/3,872.24
  6. Step 6: Final answer
    x = 1,425.76

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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.