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Finding the Fourth Proportional to 3,770.90, 5,657.39 and 1,579.10

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Solution

The fourth proportional to 3,770.90, 5,657.39 and 1,579.10 is: 2,369.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.90 : 5,657.39 = 1,579.10 : x
  2. Step 2: Convert to fraction form
    3,770.90/5,657.39 = 1,579.10/x
  3. Step 3: Cross multiply
    3,770.90x = 5,657.39 × 1,579.10
  4. Step 4: Simplify right side
    3,770.90x = 8,933,576.65
  5. Step 5: Solve for x
    x = 8,933,576.65/3,770.90
  6. Step 6: Final answer
    x = 2,369.09

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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.