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Finding the Fourth Proportional to 4,527.72, 6,786.81 and 2,575.71

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Solution

The fourth proportional to 4,527.72, 6,786.81 and 2,575.71 is: 3,860.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,527.72 : 6,786.81 = 2,575.71 : x
  2. Step 2: Convert to fraction form
    4,527.72/6,786.81 = 2,575.71/x
  3. Step 3: Cross multiply
    4,527.72x = 6,786.81 × 2,575.71
  4. Step 4: Simplify right side
    4,527.72x = 17,480,854.39
  5. Step 5: Solve for x
    x = 17,480,854.39/4,527.72
  6. Step 6: Final answer
    x = 3,860.85

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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.