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Finding the Fourth Proportional to 5,735.68, 7,914.96 and 3,742.36

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Solution

The fourth proportional to 5,735.68, 7,914.96 and 3,742.36 is: 5,164.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.68 : 7,914.96 = 3,742.36 : x
  2. Step 2: Convert to fraction form
    5,735.68/7,914.96 = 3,742.36/x
  3. Step 3: Cross multiply
    5,735.68x = 7,914.96 × 3,742.36
  4. Step 4: Simplify right side
    5,735.68x = 29,620,629.71
  5. Step 5: Solve for x
    x = 29,620,629.71/5,735.68
  6. Step 6: Final answer
    x = 5,164.28

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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.