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Finding the Fourth Proportional to 3,773.22, 5,659.83 and 1,176.17

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Solution

The fourth proportional to 3,773.22, 5,659.83 and 1,176.17 is: 1,764.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.22 : 5,659.83 = 1,176.17 : x
  2. Step 2: Convert to fraction form
    3,773.22/5,659.83 = 1,176.17/x
  3. Step 3: Cross multiply
    3,773.22x = 5,659.83 × 1,176.17
  4. Step 4: Simplify right side
    3,773.22x = 6,656,893.95
  5. Step 5: Solve for x
    x = 6,656,893.95/3,773.22
  6. Step 6: Final answer
    x = 1,764.25

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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.