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Finding the Fourth Proportional to 3,733.23, 5,619.29 and 3,169.47

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Solution

The fourth proportional to 3,733.23, 5,619.29 and 3,169.47 is: 4,770.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,733.23 : 5,619.29 = 3,169.47 : x
  2. Step 2: Convert to fraction form
    3,733.23/5,619.29 = 3,169.47/x
  3. Step 3: Cross multiply
    3,733.23x = 5,619.29 × 3,169.47
  4. Step 4: Simplify right side
    3,733.23x = 17,810,179.00
  5. Step 5: Solve for x
    x = 17,810,179.00/3,733.23
  6. Step 6: Final answer
    x = 4,770.72

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.