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Finding the Fourth Proportional to 5,331.82, 7,998.21 and 1,436.14

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Solution

The fourth proportional to 5,331.82, 7,998.21 and 1,436.14 is: 2,154.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,331.82 : 7,998.21 = 1,436.14 : x
  2. Step 2: Convert to fraction form
    5,331.82/7,998.21 = 1,436.14/x
  3. Step 3: Cross multiply
    5,331.82x = 7,998.21 × 1,436.14
  4. Step 4: Simplify right side
    5,331.82x = 11,486,549.31
  5. Step 5: Solve for x
    x = 11,486,549.31/5,331.82
  6. Step 6: Final answer
    x = 2,154.34

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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.