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Finding the Fourth Proportional to 3,711.94, 5,108.88 and 2,963.50

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Solution

The fourth proportional to 3,711.94, 5,108.88 and 2,963.50 is: 4,078.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711.94 : 5,108.88 = 2,963.50 : x
  2. Step 2: Convert to fraction form
    3,711.94/5,108.88 = 2,963.50/x
  3. Step 3: Cross multiply
    3,711.94x = 5,108.88 × 2,963.50
  4. Step 4: Simplify right side
    3,711.94x = 15,140,165.88
  5. Step 5: Solve for x
    x = 15,140,165.88/3,711.94
  6. Step 6: Final answer
    x = 4,078.77

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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.