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Finding the Fourth Proportional to 5,194.28, 7,164.90 and 3,702.68

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Solution

The fourth proportional to 5,194.28, 7,164.90 and 3,702.68 is: 5,107.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.28 : 7,164.90 = 3,702.68 : x
  2. Step 2: Convert to fraction form
    5,194.28/7,164.90 = 3,702.68/x
  3. Step 3: Cross multiply
    5,194.28x = 7,164.90 × 3,702.68
  4. Step 4: Simplify right side
    5,194.28x = 26,529,296.11
  5. Step 5: Solve for x
    x = 26,529,296.11/5,194.28
  6. Step 6: Final answer
    x = 5,107.41

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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.