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Finding the Fourth Proportional to 4,032.71, 6,049.43 and 1,399.80

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Solution

The fourth proportional to 4,032.71, 6,049.43 and 1,399.80 is: 2,099.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,032.71 : 6,049.43 = 1,399.80 : x
  2. Step 2: Convert to fraction form
    4,032.71/6,049.43 = 1,399.80/x
  3. Step 3: Cross multiply
    4,032.71x = 6,049.43 × 1,399.80
  4. Step 4: Simplify right side
    4,032.71x = 8,467,985.12
  5. Step 5: Solve for x
    x = 8,467,985.12/4,032.71
  6. Step 6: Final answer
    x = 2,099.83

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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.