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Finding the Fourth Proportional to 4,953.78, 7,414.26 and 2,729.19

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Solution

The fourth proportional to 4,953.78, 7,414.26 and 2,729.19 is: 4,084.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,953.78 : 7,414.26 = 2,729.19 : x
  2. Step 2: Convert to fraction form
    4,953.78/7,414.26 = 2,729.19/x
  3. Step 3: Cross multiply
    4,953.78x = 7,414.26 × 2,729.19
  4. Step 4: Simplify right side
    4,953.78x = 20,234,924.25
  5. Step 5: Solve for x
    x = 20,234,924.25/4,953.78
  6. Step 6: Final answer
    x = 4,084.74

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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.