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Finding the Fourth Proportional to 3,776.80, 5,668.64 and 2,023.24

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Solution

The fourth proportional to 3,776.80, 5,668.64 and 2,023.24 is: 3,036.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.80 : 5,668.64 = 2,023.24 : x
  2. Step 2: Convert to fraction form
    3,776.80/5,668.64 = 2,023.24/x
  3. Step 3: Cross multiply
    3,776.80x = 5,668.64 × 2,023.24
  4. Step 4: Simplify right side
    3,776.80x = 11,469,019.19
  5. Step 5: Solve for x
    x = 11,469,019.19/3,776.80
  6. Step 6: Final answer
    x = 3,036.70

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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.