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Finding the Fourth Proportional to 5,112.42, 7,668.54 and 2,034.42

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Solution

The fourth proportional to 5,112.42, 7,668.54 and 2,034.42 is: 3,051.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,112.42 : 7,668.54 = 2,034.42 : x
  2. Step 2: Convert to fraction form
    5,112.42/7,668.54 = 2,034.42/x
  3. Step 3: Cross multiply
    5,112.42x = 7,668.54 × 2,034.42
  4. Step 4: Simplify right side
    5,112.42x = 15,601,031.15
  5. Step 5: Solve for x
    x = 15,601,031.15/5,112.42
  6. Step 6: Final answer
    x = 3,051.59

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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.