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Finding the Fourth Proportional to 5,176.76, 7,747.97 and 3,668.22

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Solution

The fourth proportional to 5,176.76, 7,747.97 and 3,668.22 is: 5,490.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176.76 : 7,747.97 = 3,668.22 : x
  2. Step 2: Convert to fraction form
    5,176.76/7,747.97 = 3,668.22/x
  3. Step 3: Cross multiply
    5,176.76x = 7,747.97 × 3,668.22
  4. Step 4: Simplify right side
    5,176.76x = 28,421,240.17
  5. Step 5: Solve for x
    x = 28,421,240.17/5,176.76
  6. Step 6: Final answer
    x = 5,490.17

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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.