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Finding the Fourth Proportional to 3,940.49, 5,437.68 and 2,543.24

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Solution

The fourth proportional to 3,940.49, 5,437.68 and 2,543.24 is: 3,509.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.49 : 5,437.68 = 2,543.24 : x
  2. Step 2: Convert to fraction form
    3,940.49/5,437.68 = 2,543.24/x
  3. Step 3: Cross multiply
    3,940.49x = 5,437.68 × 2,543.24
  4. Step 4: Simplify right side
    3,940.49x = 13,829,325.28
  5. Step 5: Solve for x
    x = 13,829,325.28/3,940.49
  6. Step 6: Final answer
    x = 3,509.54

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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.