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Finding the Fourth Proportional to 3,881.94, 5,356.87 and 2,203.50

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Solution

The fourth proportional to 3,881.94, 5,356.87 and 2,203.50 is: 3,040.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.94 : 5,356.87 = 2,203.50 : x
  2. Step 2: Convert to fraction form
    3,881.94/5,356.87 = 2,203.50/x
  3. Step 3: Cross multiply
    3,881.94x = 5,356.87 × 2,203.50
  4. Step 4: Simplify right side
    3,881.94x = 11,803,863.05
  5. Step 5: Solve for x
    x = 11,803,863.05/3,881.94
  6. Step 6: Final answer
    x = 3,040.71

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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.