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Finding the Fourth Proportional to 3,541.73, 4,887.49 and 2,049.71

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Solution

The fourth proportional to 3,541.73, 4,887.49 and 2,049.71 is: 2,828.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,541.73 : 4,887.49 = 2,049.71 : x
  2. Step 2: Convert to fraction form
    3,541.73/4,887.49 = 2,049.71/x
  3. Step 3: Cross multiply
    3,541.73x = 4,887.49 × 2,049.71
  4. Step 4: Simplify right side
    3,541.73x = 10,017,911.41
  5. Step 5: Solve for x
    x = 10,017,911.41/3,541.73
  6. Step 6: Final answer
    x = 2,828.54

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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.