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Finding the Fourth Proportional to 3,559.60, 5,335.80 and 2,098

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Solution

The fourth proportional to 3,559.60, 5,335.80 and 2,098 is: 3,144.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,559.60 : 5,335.80 = 2,098 : x
  2. Step 2: Convert to fraction form
    3,559.60/5,335.80 = 2,098/x
  3. Step 3: Cross multiply
    3,559.60x = 5,335.80 × 2,098
  4. Step 4: Simplify right side
    3,559.60x = 11,194,508.40
  5. Step 5: Solve for x
    x = 11,194,508.40/3,559.60
  6. Step 6: Final answer
    x = 3,144.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.