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Finding the Fourth Proportional to 4,729.92, 7,092.09 and 1,953.48

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Solution

The fourth proportional to 4,729.92, 7,092.09 and 1,953.48 is: 2,929.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,729.92 : 7,092.09 = 1,953.48 : x
  2. Step 2: Convert to fraction form
    4,729.92/7,092.09 = 1,953.48/x
  3. Step 3: Cross multiply
    4,729.92x = 7,092.09 × 1,953.48
  4. Step 4: Simplify right side
    4,729.92x = 13,854,255.97
  5. Step 5: Solve for x
    x = 13,854,255.97/4,729.92
  6. Step 6: Final answer
    x = 2,929.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.