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Finding the Fourth Proportional to 3,874.35, 5,811.48 and 952.68

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Solution

The fourth proportional to 3,874.35, 5,811.48 and 952.68 is: 1,429.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.35 : 5,811.48 = 952.68 : x
  2. Step 2: Convert to fraction form
    3,874.35/5,811.48 = 952.68/x
  3. Step 3: Cross multiply
    3,874.35x = 5,811.48 × 952.68
  4. Step 4: Simplify right side
    3,874.35x = 5,536,480.77
  5. Step 5: Solve for x
    x = 5,536,480.77/3,874.35
  6. Step 6: Final answer
    x = 1,429.01

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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.