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Finding the Fourth Proportional to 5,744, 7,926.90 and 3,388.16

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Solution

The fourth proportional to 5,744, 7,926.90 and 3,388.16 is: 4,675.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744 : 7,926.90 = 3,388.16 : x
  2. Step 2: Convert to fraction form
    5,744/7,926.90 = 3,388.16/x
  3. Step 3: Cross multiply
    5,744x = 7,926.90 × 3,388.16
  4. Step 4: Simplify right side
    5,744x = 26,857,605.50
  5. Step 5: Solve for x
    x = 26,857,605.50/5,744
  6. Step 6: Final answer
    x = 4,675.77

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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.