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Finding the Fourth Proportional to 3,778.80, 5,668.31 and 1,005.47

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Solution

The fourth proportional to 3,778.80, 5,668.31 and 1,005.47 is: 1,508.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.80 : 5,668.31 = 1,005.47 : x
  2. Step 2: Convert to fraction form
    3,778.80/5,668.31 = 1,005.47/x
  3. Step 3: Cross multiply
    3,778.80x = 5,668.31 × 1,005.47
  4. Step 4: Simplify right side
    3,778.80x = 5,699,282.29
  5. Step 5: Solve for x
    x = 5,699,282.29/3,778.80
  6. Step 6: Final answer
    x = 1,508.23

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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.