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Finding the Fourth Proportional to 3,874.58, 5,346.96 and 2,195.96

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Solution

The fourth proportional to 3,874.58, 5,346.96 and 2,195.96 is: 3,030.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.58 : 5,346.96 = 2,195.96 : x
  2. Step 2: Convert to fraction form
    3,874.58/5,346.96 = 2,195.96/x
  3. Step 3: Cross multiply
    3,874.58x = 5,346.96 × 2,195.96
  4. Step 4: Simplify right side
    3,874.58x = 11,741,710.28
  5. Step 5: Solve for x
    x = 11,741,710.28/3,874.58
  6. Step 6: Final answer
    x = 3,030.45

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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.