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Finding the Fourth Proportional to 5,331.64, 7,997.40 and 2,409.16

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Solution

The fourth proportional to 5,331.64, 7,997.40 and 2,409.16 is: 3,613.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,331.64 : 7,997.40 = 2,409.16 : x
  2. Step 2: Convert to fraction form
    5,331.64/7,997.40 = 2,409.16/x
  3. Step 3: Cross multiply
    5,331.64x = 7,997.40 × 2,409.16
  4. Step 4: Simplify right side
    5,331.64x = 19,267,016.18
  5. Step 5: Solve for x
    x = 19,267,016.18/5,331.64
  6. Step 6: Final answer
    x = 3,613.71

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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.