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Finding the Fourth Proportional to 3,951.89, 5,926.47 and 1,354.22

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Solution

The fourth proportional to 3,951.89, 5,926.47 and 1,354.22 is: 2,030.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,951.89 : 5,926.47 = 1,354.22 : x
  2. Step 2: Convert to fraction form
    3,951.89/5,926.47 = 1,354.22/x
  3. Step 3: Cross multiply
    3,951.89x = 5,926.47 × 1,354.22
  4. Step 4: Simplify right side
    3,951.89x = 8,025,731.72
  5. Step 5: Solve for x
    x = 8,025,731.72/3,951.89
  6. Step 6: Final answer
    x = 2,030.86

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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.