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Finding the Fourth Proportional to 3,837.50, 5,756.78 and 1,371.80

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Solution

The fourth proportional to 3,837.50, 5,756.78 and 1,371.80 is: 2,057.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837.50 : 5,756.78 = 1,371.80 : x
  2. Step 2: Convert to fraction form
    3,837.50/5,756.78 = 1,371.80/x
  3. Step 3: Cross multiply
    3,837.50x = 5,756.78 × 1,371.80
  4. Step 4: Simplify right side
    3,837.50x = 7,897,150.80
  5. Step 5: Solve for x
    x = 7,897,150.80/3,837.50
  6. Step 6: Final answer
    x = 2,057.89

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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.