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Finding the Fourth Proportional to 3,980.72, 5,941.86 and 3,687.50

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Solution

The fourth proportional to 3,980.72, 5,941.86 and 3,687.50 is: 5,504.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.72 : 5,941.86 = 3,687.50 : x
  2. Step 2: Convert to fraction form
    3,980.72/5,941.86 = 3,687.50/x
  3. Step 3: Cross multiply
    3,980.72x = 5,941.86 × 3,687.50
  4. Step 4: Simplify right side
    3,980.72x = 21,910,608.75
  5. Step 5: Solve for x
    x = 21,910,608.75/3,980.72
  6. Step 6: Final answer
    x = 5,504.18

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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.