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Finding the Fourth Proportional to 4,131.99, 5,702.15 and 2,243.58

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Solution

The fourth proportional to 4,131.99, 5,702.15 and 2,243.58 is: 3,096.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,131.99 : 5,702.15 = 2,243.58 : x
  2. Step 2: Convert to fraction form
    4,131.99/5,702.15 = 2,243.58/x
  3. Step 3: Cross multiply
    4,131.99x = 5,702.15 × 2,243.58
  4. Step 4: Simplify right side
    4,131.99x = 12,793,229.70
  5. Step 5: Solve for x
    x = 12,793,229.70/4,131.99
  6. Step 6: Final answer
    x = 3,096.14

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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.