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Finding the Fourth Proportional to 5,108.50, 7,668.11 and 4,527.22

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Solution

The fourth proportional to 5,108.50, 7,668.11 and 4,527.22 is: 6,795.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,108.50 : 7,668.11 = 4,527.22 : x
  2. Step 2: Convert to fraction form
    5,108.50/7,668.11 = 4,527.22/x
  3. Step 3: Cross multiply
    5,108.50x = 7,668.11 × 4,527.22
  4. Step 4: Simplify right side
    5,108.50x = 34,715,159.98
  5. Step 5: Solve for x
    x = 34,715,159.98/5,108.50
  6. Step 6: Final answer
    x = 6,795.57

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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.