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Finding the Fourth Proportional to 3,494.13, 4,821.89 and 2,096.88

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Solution

The fourth proportional to 3,494.13, 4,821.89 and 2,096.88 is: 2,893.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.13 : 4,821.89 = 2,096.88 : x
  2. Step 2: Convert to fraction form
    3,494.13/4,821.89 = 2,096.88/x
  3. Step 3: Cross multiply
    3,494.13x = 4,821.89 × 2,096.88
  4. Step 4: Simplify right side
    3,494.13x = 10,110,924.70
  5. Step 5: Solve for x
    x = 10,110,924.70/3,494.13
  6. Step 6: Final answer
    x = 2,893.69

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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.