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Finding the Fourth Proportional to 3,757.96, 5,628.72 and 2,113.60

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Solution

The fourth proportional to 3,757.96, 5,628.72 and 2,113.60 is: 3,165.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.96 : 5,628.72 = 2,113.60 : x
  2. Step 2: Convert to fraction form
    3,757.96/5,628.72 = 2,113.60/x
  3. Step 3: Cross multiply
    3,757.96x = 5,628.72 × 2,113.60
  4. Step 4: Simplify right side
    3,757.96x = 11,896,862.59
  5. Step 5: Solve for x
    x = 11,896,862.59/3,757.96
  6. Step 6: Final answer
    x = 3,165.78

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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.