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Finding the Fourth Proportional to 5,727.60, 7,900.68 and 3,369.24

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Solution

The fourth proportional to 5,727.60, 7,900.68 and 3,369.24 is: 4,647.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,727.60 : 7,900.68 = 3,369.24 : x
  2. Step 2: Convert to fraction form
    5,727.60/7,900.68 = 3,369.24/x
  3. Step 3: Cross multiply
    5,727.60x = 7,900.68 × 3,369.24
  4. Step 4: Simplify right side
    5,727.60x = 26,619,287.08
  5. Step 5: Solve for x
    x = 26,619,287.08/5,727.60
  6. Step 6: Final answer
    x = 4,647.55

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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.