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Finding the Fourth Proportional to 3,784.40, 5,668.32 and 2,685.44

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Solution

The fourth proportional to 3,784.40, 5,668.32 and 2,685.44 is: 4,022.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.40 : 5,668.32 = 2,685.44 : x
  2. Step 2: Convert to fraction form
    3,784.40/5,668.32 = 2,685.44/x
  3. Step 3: Cross multiply
    3,784.40x = 5,668.32 × 2,685.44
  4. Step 4: Simplify right side
    3,784.40x = 15,221,933.26
  5. Step 5: Solve for x
    x = 15,221,933.26/3,784.40
  6. Step 6: Final answer
    x = 4,022.28

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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.