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Finding the Fourth Proportional to 3,365.36, 5,046.67 and 1,465.78

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Solution

The fourth proportional to 3,365.36, 5,046.67 and 1,465.78 is: 2,198.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,365.36 : 5,046.67 = 1,465.78 : x
  2. Step 2: Convert to fraction form
    3,365.36/5,046.67 = 1,465.78/x
  3. Step 3: Cross multiply
    3,365.36x = 5,046.67 × 1,465.78
  4. Step 4: Simplify right side
    3,365.36x = 7,397,304.29
  5. Step 5: Solve for x
    x = 7,397,304.29/3,365.36
  6. Step 6: Final answer
    x = 2,198.07

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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.