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Finding the Fourth Proportional to 4,237.82, 6,358.05 and 1,899.78

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Solution

The fourth proportional to 4,237.82, 6,358.05 and 1,899.78 is: 2,850.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,237.82 : 6,358.05 = 1,899.78 : x
  2. Step 2: Convert to fraction form
    4,237.82/6,358.05 = 1,899.78/x
  3. Step 3: Cross multiply
    4,237.82x = 6,358.05 × 1,899.78
  4. Step 4: Simplify right side
    4,237.82x = 12,078,896.23
  5. Step 5: Solve for x
    x = 12,078,896.23/4,237.82
  6. Step 6: Final answer
    x = 2,850.27

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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.