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Finding the Fourth Proportional to 4,954.96, 7,431.96 and 1,668.07

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Solution

The fourth proportional to 4,954.96, 7,431.96 and 1,668.07 is: 2,501.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954.96 : 7,431.96 = 1,668.07 : x
  2. Step 2: Convert to fraction form
    4,954.96/7,431.96 = 1,668.07/x
  3. Step 3: Cross multiply
    4,954.96x = 7,431.96 × 1,668.07
  4. Step 4: Simplify right side
    4,954.96x = 12,397,029.52
  5. Step 5: Solve for x
    x = 12,397,029.52/4,954.96
  6. Step 6: Final answer
    x = 2,501.94

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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.