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Finding the Fourth Proportional to 5,168.41, 7,749.68 and 3,526.94

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Solution

The fourth proportional to 5,168.41, 7,749.68 and 3,526.94 is: 5,288.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,168.41 : 7,749.68 = 3,526.94 : x
  2. Step 2: Convert to fraction form
    5,168.41/7,749.68 = 3,526.94/x
  3. Step 3: Cross multiply
    5,168.41x = 7,749.68 × 3,526.94
  4. Step 4: Simplify right side
    5,168.41x = 27,332,658.12
  5. Step 5: Solve for x
    x = 27,332,658.12/5,168.41
  6. Step 6: Final answer
    x = 5,288.41

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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.