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Finding the Fourth Proportional to 4,238.71, 6,357.73 and 1,898.62

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Solution

The fourth proportional to 4,238.71, 6,357.73 and 1,898.62 is: 2,847.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,238.71 : 6,357.73 = 1,898.62 : x
  2. Step 2: Convert to fraction form
    4,238.71/6,357.73 = 1,898.62/x
  3. Step 3: Cross multiply
    4,238.71x = 6,357.73 × 1,898.62
  4. Step 4: Simplify right side
    4,238.71x = 12,070,913.33
  5. Step 5: Solve for x
    x = 12,070,913.33/4,238.71
  6. Step 6: Final answer
    x = 2,847.78

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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.