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Finding the Fourth Proportional to 5,333.34, 7,999.46 and 1,438.14

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Solution

The fourth proportional to 5,333.34, 7,999.46 and 1,438.14 is: 2,157.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,333.34 : 7,999.46 = 1,438.14 : x
  2. Step 2: Convert to fraction form
    5,333.34/7,999.46 = 1,438.14/x
  3. Step 3: Cross multiply
    5,333.34x = 7,999.46 × 1,438.14
  4. Step 4: Simplify right side
    5,333.34x = 11,504,343.40
  5. Step 5: Solve for x
    x = 11,504,343.40/5,333.34
  6. Step 6: Final answer
    x = 2,157.06

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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.