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Finding the Fourth Proportional to 3,712.74, 5,119.80 and 3,183.48

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Solution

The fourth proportional to 3,712.74, 5,119.80 and 3,183.48 is: 4,389.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.74 : 5,119.80 = 3,183.48 : x
  2. Step 2: Convert to fraction form
    3,712.74/5,119.80 = 3,183.48/x
  3. Step 3: Cross multiply
    3,712.74x = 5,119.80 × 3,183.48
  4. Step 4: Simplify right side
    3,712.74x = 16,298,780.90
  5. Step 5: Solve for x
    x = 16,298,780.90/3,712.74
  6. Step 6: Final answer
    x = 4,389.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.