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Finding the Fourth Proportional to 5,132.49, 7,696.85 and 1,844.70

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Solution

The fourth proportional to 5,132.49, 7,696.85 and 1,844.70 is: 2,766.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,132.49 : 7,696.85 = 1,844.70 : x
  2. Step 2: Convert to fraction form
    5,132.49/7,696.85 = 1,844.70/x
  3. Step 3: Cross multiply
    5,132.49x = 7,696.85 × 1,844.70
  4. Step 4: Simplify right side
    5,132.49x = 14,198,369.97
  5. Step 5: Solve for x
    x = 14,198,369.97/5,132.49
  6. Step 6: Final answer
    x = 2,766.37

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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.