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Finding the Fourth Proportional to 3,874.36, 5,811.54 and 952.72

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Solution

The fourth proportional to 3,874.36, 5,811.54 and 952.72 is: 1,429.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.36 : 5,811.54 = 952.72 : x
  2. Step 2: Convert to fraction form
    3,874.36/5,811.54 = 952.72/x
  3. Step 3: Cross multiply
    3,874.36x = 5,811.54 × 952.72
  4. Step 4: Simplify right side
    3,874.36x = 5,536,770.39
  5. Step 5: Solve for x
    x = 5,536,770.39/3,874.36
  6. Step 6: Final answer
    x = 1,429.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.