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Finding the Fourth Proportional to 3,435.69, 4,742.87 and 2,194.41

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Solution

The fourth proportional to 3,435.69, 4,742.87 and 2,194.41 is: 3,029.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.69 : 4,742.87 = 2,194.41 : x
  2. Step 2: Convert to fraction form
    3,435.69/4,742.87 = 2,194.41/x
  3. Step 3: Cross multiply
    3,435.69x = 4,742.87 × 2,194.41
  4. Step 4: Simplify right side
    3,435.69x = 10,407,790.38
  5. Step 5: Solve for x
    x = 10,407,790.38/3,435.69
  6. Step 6: Final answer
    x = 3,029.32

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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.