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Finding the Fourth Proportional to 4,131.59, 5,701.64 and 2,243.19

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Solution

The fourth proportional to 4,131.59, 5,701.64 and 2,243.19 is: 3,095.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,131.59 : 5,701.64 = 2,243.19 : x
  2. Step 2: Convert to fraction form
    4,131.59/5,701.64 = 2,243.19/x
  3. Step 3: Cross multiply
    4,131.59x = 5,701.64 × 2,243.19
  4. Step 4: Simplify right side
    4,131.59x = 12,789,850.62
  5. Step 5: Solve for x
    x = 12,789,850.62/4,131.59
  6. Step 6: Final answer
    x = 3,095.62

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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.