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Finding the Fourth Proportional to 3,772.77, 5,659.74 and 1,433.76

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Solution

The fourth proportional to 3,772.77, 5,659.74 and 1,433.76 is: 2,150.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.77 : 5,659.74 = 1,433.76 : x
  2. Step 2: Convert to fraction form
    3,772.77/5,659.74 = 1,433.76/x
  3. Step 3: Cross multiply
    3,772.77x = 5,659.74 × 1,433.76
  4. Step 4: Simplify right side
    3,772.77x = 8,114,708.82
  5. Step 5: Solve for x
    x = 8,114,708.82/3,772.77
  6. Step 6: Final answer
    x = 2,150.86

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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.