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Finding the Fourth Proportional to 3,742.99, 5,167.73 and 3,349.33

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Solution

The fourth proportional to 3,742.99, 5,167.73 and 3,349.33 is: 4,624.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.99 : 5,167.73 = 3,349.33 : x
  2. Step 2: Convert to fraction form
    3,742.99/5,167.73 = 3,349.33/x
  3. Step 3: Cross multiply
    3,742.99x = 5,167.73 × 3,349.33
  4. Step 4: Simplify right side
    3,742.99x = 17,308,433.12
  5. Step 5: Solve for x
    x = 17,308,433.12/3,742.99
  6. Step 6: Final answer
    x = 4,624.23

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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.