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Finding the Fourth Proportional to 4,196.79, 5,790.38 and 2,705.22

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Solution

The fourth proportional to 4,196.79, 5,790.38 and 2,705.22 is: 3,732.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.79 : 5,790.38 = 2,705.22 : x
  2. Step 2: Convert to fraction form
    4,196.79/5,790.38 = 2,705.22/x
  3. Step 3: Cross multiply
    4,196.79x = 5,790.38 × 2,705.22
  4. Step 4: Simplify right side
    4,196.79x = 15,664,238.26
  5. Step 5: Solve for x
    x = 15,664,238.26/4,196.79
  6. Step 6: Final answer
    x = 3,732.43

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Why These Related Problems?

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