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Finding the Fourth Proportional to 5,733.76, 7,914.23 and 3,377.27

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Solution

The fourth proportional to 5,733.76, 7,914.23 and 3,377.27 is: 4,661.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,733.76 : 7,914.23 = 3,377.27 : x
  2. Step 2: Convert to fraction form
    5,733.76/7,914.23 = 3,377.27/x
  3. Step 3: Cross multiply
    5,733.76x = 7,914.23 × 3,377.27
  4. Step 4: Simplify right side
    5,733.76x = 26,728,491.55
  5. Step 5: Solve for x
    x = 26,728,491.55/5,733.76
  6. Step 6: Final answer
    x = 4,661.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.