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Finding the Fourth Proportional to 3,735.85, 5,155.47 and 2,057.41

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Solution

The fourth proportional to 3,735.85, 5,155.47 and 2,057.41 is: 2,839.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.85 : 5,155.47 = 2,057.41 : x
  2. Step 2: Convert to fraction form
    3,735.85/5,155.47 = 2,057.41/x
  3. Step 3: Cross multiply
    3,735.85x = 5,155.47 × 2,057.41
  4. Step 4: Simplify right side
    3,735.85x = 10,606,915.53
  5. Step 5: Solve for x
    x = 10,606,915.53/3,735.85
  6. Step 6: Final answer
    x = 2,839.22

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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.