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Finding the Fourth Proportional to 3,950.52, 5,452.38 and 2,378.76

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Solution

The fourth proportional to 3,950.52, 5,452.38 and 2,378.76 is: 3,283.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,950.52 : 5,452.38 = 2,378.76 : x
  2. Step 2: Convert to fraction form
    3,950.52/5,452.38 = 2,378.76/x
  3. Step 3: Cross multiply
    3,950.52x = 5,452.38 × 2,378.76
  4. Step 4: Simplify right side
    3,950.52x = 12,969,903.45
  5. Step 5: Solve for x
    x = 12,969,903.45/3,950.52
  6. Step 6: Final answer
    x = 3,283.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.