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Finding the Fourth Proportional to 3,784.17, 5,674.20 and 1,318.33

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Solution

The fourth proportional to 3,784.17, 5,674.20 and 1,318.33 is: 1,976.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.17 : 5,674.20 = 1,318.33 : x
  2. Step 2: Convert to fraction form
    3,784.17/5,674.20 = 1,318.33/x
  3. Step 3: Cross multiply
    3,784.17x = 5,674.20 × 1,318.33
  4. Step 4: Simplify right side
    3,784.17x = 7,480,477.65
  5. Step 5: Solve for x
    x = 7,480,477.65/3,784.17
  6. Step 6: Final answer
    x = 1,976.78

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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.