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Finding the Fourth Proportional to 3,902.26, 5,851.98 and 1,127.98

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Solution

The fourth proportional to 3,902.26, 5,851.98 and 1,127.98 is: 1,691.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.26 : 5,851.98 = 1,127.98 : x
  2. Step 2: Convert to fraction form
    3,902.26/5,851.98 = 1,127.98/x
  3. Step 3: Cross multiply
    3,902.26x = 5,851.98 × 1,127.98
  4. Step 4: Simplify right side
    3,902.26x = 6,600,916.40
  5. Step 5: Solve for x
    x = 6,600,916.40/3,902.26
  6. Step 6: Final answer
    x = 1,691.56

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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.