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Finding the Fourth Proportional to 3,496.47, 5,237.87 and 1,850.75

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Solution

The fourth proportional to 3,496.47, 5,237.87 and 1,850.75 is: 2,772.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.47 : 5,237.87 = 1,850.75 : x
  2. Step 2: Convert to fraction form
    3,496.47/5,237.87 = 1,850.75/x
  3. Step 3: Cross multiply
    3,496.47x = 5,237.87 × 1,850.75
  4. Step 4: Simplify right side
    3,496.47x = 9,693,972.10
  5. Step 5: Solve for x
    x = 9,693,972.10/3,496.47
  6. Step 6: Final answer
    x = 2,772.51

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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.