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Finding the Fourth Proportional to 4,199.78, 6,299.68 and 1,426.34

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Solution

The fourth proportional to 4,199.78, 6,299.68 and 1,426.34 is: 2,139.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.78 : 6,299.68 = 1,426.34 : x
  2. Step 2: Convert to fraction form
    4,199.78/6,299.68 = 1,426.34/x
  3. Step 3: Cross multiply
    4,199.78x = 6,299.68 × 1,426.34
  4. Step 4: Simplify right side
    4,199.78x = 8,985,485.57
  5. Step 5: Solve for x
    x = 8,985,485.57/4,199.78
  6. Step 6: Final answer
    x = 2,139.51

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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.