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Finding the Fourth Proportional to 4,195.59, 5,793.78 and 2,706.06

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Solution

The fourth proportional to 4,195.59, 5,793.78 and 2,706.06 is: 3,736.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,195.59 : 5,793.78 = 2,706.06 : x
  2. Step 2: Convert to fraction form
    4,195.59/5,793.78 = 2,706.06/x
  3. Step 3: Cross multiply
    4,195.59x = 5,793.78 × 2,706.06
  4. Step 4: Simplify right side
    4,195.59x = 15,678,316.31
  5. Step 5: Solve for x
    x = 15,678,316.31/4,195.59
  6. Step 6: Final answer
    x = 3,736.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.