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Finding the Fourth Proportional to 3,704.92, 5,114.84 and 2,527.72

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Solution

The fourth proportional to 3,704.92, 5,114.84 and 2,527.72 is: 3,489.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.92 : 5,114.84 = 2,527.72 : x
  2. Step 2: Convert to fraction form
    3,704.92/5,114.84 = 2,527.72/x
  3. Step 3: Cross multiply
    3,704.92x = 5,114.84 × 2,527.72
  4. Step 4: Simplify right side
    3,704.92x = 12,928,883.36
  5. Step 5: Solve for x
    x = 12,928,883.36/3,704.92
  6. Step 6: Final answer
    x = 3,489.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.