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Finding the Fourth Proportional to 3,772.29, 5,659.65 and 2,675.75

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Solution

The fourth proportional to 3,772.29, 5,659.65 and 2,675.75 is: 4,014.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.29 : 5,659.65 = 2,675.75 : x
  2. Step 2: Convert to fraction form
    3,772.29/5,659.65 = 2,675.75/x
  3. Step 3: Cross multiply
    3,772.29x = 5,659.65 × 2,675.75
  4. Step 4: Simplify right side
    3,772.29x = 15,143,795.11
  5. Step 5: Solve for x
    x = 15,143,795.11/3,772.29
  6. Step 6: Final answer
    x = 4,014.49

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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.