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Finding the Fourth Proportional to 3,365.40, 5,048.96 and 1,174.16

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Solution

The fourth proportional to 3,365.40, 5,048.96 and 1,174.16 is: 1,761.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,365.40 : 5,048.96 = 1,174.16 : x
  2. Step 2: Convert to fraction form
    3,365.40/5,048.96 = 1,174.16/x
  3. Step 3: Cross multiply
    3,365.40x = 5,048.96 × 1,174.16
  4. Step 4: Simplify right side
    3,365.40x = 5,928,286.87
  5. Step 5: Solve for x
    x = 5,928,286.87/3,365.40
  6. Step 6: Final answer
    x = 1,761.54

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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.