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Finding the Fourth Proportional to 3,773.61, 5,659.55 and 1,433.87

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Solution

The fourth proportional to 3,773.61, 5,659.55 and 1,433.87 is: 2,150.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.61 : 5,659.55 = 1,433.87 : x
  2. Step 2: Convert to fraction form
    3,773.61/5,659.55 = 1,433.87/x
  3. Step 3: Cross multiply
    3,773.61x = 5,659.55 × 1,433.87
  4. Step 4: Simplify right side
    3,773.61x = 8,115,023.49
  5. Step 5: Solve for x
    x = 8,115,023.49/3,773.61
  6. Step 6: Final answer
    x = 2,150.47

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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.