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Finding the Fourth Proportional to 3,952.54, 5,930.53 and 1,874

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Solution

The fourth proportional to 3,952.54, 5,930.53 and 1,874 is: 2,811.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.54 : 5,930.53 = 1,874 : x
  2. Step 2: Convert to fraction form
    3,952.54/5,930.53 = 1,874/x
  3. Step 3: Cross multiply
    3,952.54x = 5,930.53 × 1,874
  4. Step 4: Simplify right side
    3,952.54x = 11,113,813.22
  5. Step 5: Solve for x
    x = 11,113,813.22/3,952.54
  6. Step 6: Final answer
    x = 2,811.82

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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.