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Finding the Fourth Proportional to 4,196.27, 5,828.81 and 4,129.31

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Solution

The fourth proportional to 4,196.27, 5,828.81 and 4,129.31 is: 5,735.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.27 : 5,828.81 = 4,129.31 : x
  2. Step 2: Convert to fraction form
    4,196.27/5,828.81 = 4,129.31/x
  3. Step 3: Cross multiply
    4,196.27x = 5,828.81 × 4,129.31
  4. Step 4: Simplify right side
    4,196.27x = 24,068,980.57
  5. Step 5: Solve for x
    x = 24,068,980.57/4,196.27
  6. Step 6: Final answer
    x = 5,735.80

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.