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Finding the Fourth Proportional to 4,558.38, 6,837.83 and 1,438.48

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Solution

The fourth proportional to 4,558.38, 6,837.83 and 1,438.48 is: 2,157.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,558.38 : 6,837.83 = 1,438.48 : x
  2. Step 2: Convert to fraction form
    4,558.38/6,837.83 = 1,438.48/x
  3. Step 3: Cross multiply
    4,558.38x = 6,837.83 × 1,438.48
  4. Step 4: Simplify right side
    4,558.38x = 9,836,081.70
  5. Step 5: Solve for x
    x = 9,836,081.70/4,558.38
  6. Step 6: Final answer
    x = 2,157.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.