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Finding the Fourth Proportional to 5,034.42, 7,551.72 and 1,524.51

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Solution

The fourth proportional to 5,034.42, 7,551.72 and 1,524.51 is: 2,286.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034.42 : 7,551.72 = 1,524.51 : x
  2. Step 2: Convert to fraction form
    5,034.42/7,551.72 = 1,524.51/x
  3. Step 3: Cross multiply
    5,034.42x = 7,551.72 × 1,524.51
  4. Step 4: Simplify right side
    5,034.42x = 11,512,672.66
  5. Step 5: Solve for x
    x = 11,512,672.66/5,034.42
  6. Step 6: Final answer
    x = 2,286.79

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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.