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Finding the Fourth Proportional to 3,537.89, 4,882.05 and 1,944.50

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Solution

The fourth proportional to 3,537.89, 4,882.05 and 1,944.50 is: 2,683.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.89 : 4,882.05 = 1,944.50 : x
  2. Step 2: Convert to fraction form
    3,537.89/4,882.05 = 1,944.50/x
  3. Step 3: Cross multiply
    3,537.89x = 4,882.05 × 1,944.50
  4. Step 4: Simplify right side
    3,537.89x = 9,493,124.30
  5. Step 5: Solve for x
    x = 9,493,124.30/3,537.89
  6. Step 6: Final answer
    x = 2,683.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.