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Finding the Fourth Proportional to 3,541.86, 4,887.96 and 1,969.98

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Solution

The fourth proportional to 3,541.86, 4,887.96 and 1,969.98 is: 2,718.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,541.86 : 4,887.96 = 1,969.98 : x
  2. Step 2: Convert to fraction form
    3,541.86/4,887.96 = 1,969.98/x
  3. Step 3: Cross multiply
    3,541.86x = 4,887.96 × 1,969.98
  4. Step 4: Simplify right side
    3,541.86x = 9,629,183.44
  5. Step 5: Solve for x
    x = 9,629,183.44/3,541.86
  6. Step 6: Final answer
    x = 2,718.68

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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.