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Finding the Fourth Proportional to 7,137.52, 9,850.21 and 3,950.84

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Solution

The fourth proportional to 7,137.52, 9,850.21 and 3,950.84 is: 5,452.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.52 : 9,850.21 = 3,950.84 : x
  2. Step 2: Convert to fraction form
    7,137.52/9,850.21 = 3,950.84/x
  3. Step 3: Cross multiply
    7,137.52x = 9,850.21 × 3,950.84
  4. Step 4: Simplify right side
    7,137.52x = 38,916,618.42
  5. Step 5: Solve for x
    x = 38,916,618.42/7,137.52
  6. Step 6: Final answer
    x = 5,452.40

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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.