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Finding the Fourth Proportional to 5,614.38, 7,750.98 and 3,940.92

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Solution

The fourth proportional to 5,614.38, 7,750.98 and 3,940.92 is: 5,440.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.38 : 7,750.98 = 3,940.92 : x
  2. Step 2: Convert to fraction form
    5,614.38/7,750.98 = 3,940.92/x
  3. Step 3: Cross multiply
    5,614.38x = 7,750.98 × 3,940.92
  4. Step 4: Simplify right side
    5,614.38x = 30,545,992.10
  5. Step 5: Solve for x
    x = 30,545,992.10/5,614.38
  6. Step 6: Final answer
    x = 5,440.67

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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.