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Finding the Fourth Proportional to 3,735.96, 5,155.56 and 2,057.40

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Solution

The fourth proportional to 3,735.96, 5,155.56 and 2,057.40 is: 2,839.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.96 : 5,155.56 = 2,057.40 : x
  2. Step 2: Convert to fraction form
    3,735.96/5,155.56 = 2,057.40/x
  3. Step 3: Cross multiply
    3,735.96x = 5,155.56 × 2,057.40
  4. Step 4: Simplify right side
    3,735.96x = 10,607,049.14
  5. Step 5: Solve for x
    x = 10,607,049.14/3,735.96
  6. Step 6: Final answer
    x = 2,839.18

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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.