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Finding the Fourth Proportional to 4,238.75, 6,358.02 and 1,898.21

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Solution

The fourth proportional to 4,238.75, 6,358.02 and 1,898.21 is: 2,847.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,238.75 : 6,358.02 = 1,898.21 : x
  2. Step 2: Convert to fraction form
    4,238.75/6,358.02 = 1,898.21/x
  3. Step 3: Cross multiply
    4,238.75x = 6,358.02 × 1,898.21
  4. Step 4: Simplify right side
    4,238.75x = 12,068,857.14
  5. Step 5: Solve for x
    x = 12,068,857.14/4,238.75
  6. Step 6: Final answer
    x = 2,847.27

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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.