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Finding the Fourth Proportional to 3,811.76, 5,717.18 and 1,729.55

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Solution

The fourth proportional to 3,811.76, 5,717.18 and 1,729.55 is: 2,594.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811.76 : 5,717.18 = 1,729.55 : x
  2. Step 2: Convert to fraction form
    3,811.76/5,717.18 = 1,729.55/x
  3. Step 3: Cross multiply
    3,811.76x = 5,717.18 × 1,729.55
  4. Step 4: Simplify right side
    3,811.76x = 9,888,167.29
  5. Step 5: Solve for x
    x = 9,888,167.29/3,811.76
  6. Step 6: Final answer
    x = 2,594.12

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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.