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Finding the Fourth Proportional to 3,781.69, 5,647.04 and 3,089.73

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Solution

The fourth proportional to 3,781.69, 5,647.04 and 3,089.73 is: 4,613.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.69 : 5,647.04 = 3,089.73 : x
  2. Step 2: Convert to fraction form
    3,781.69/5,647.04 = 3,089.73/x
  3. Step 3: Cross multiply
    3,781.69x = 5,647.04 × 3,089.73
  4. Step 4: Simplify right side
    3,781.69x = 17,447,828.90
  5. Step 5: Solve for x
    x = 17,447,828.90/3,781.69
  6. Step 6: Final answer
    x = 4,613.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.