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Finding the Fourth Proportional to 5,410.14, 7,469.67 and 3,394.40

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Solution

The fourth proportional to 5,410.14, 7,469.67 and 3,394.40 is: 4,686.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.14 : 7,469.67 = 3,394.40 : x
  2. Step 2: Convert to fraction form
    5,410.14/7,469.67 = 3,394.40/x
  3. Step 3: Cross multiply
    5,410.14x = 7,469.67 × 3,394.40
  4. Step 4: Simplify right side
    5,410.14x = 25,355,010.50
  5. Step 5: Solve for x
    x = 25,355,010.50/5,410.14
  6. Step 6: Final answer
    x = 4,686.57

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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.