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Finding the Fourth Proportional to 3,877.50, 5,348.67 and 2,305.50

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Solution

The fourth proportional to 3,877.50, 5,348.67 and 2,305.50 is: 3,180.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.50 : 5,348.67 = 2,305.50 : x
  2. Step 2: Convert to fraction form
    3,877.50/5,348.67 = 2,305.50/x
  3. Step 3: Cross multiply
    3,877.50x = 5,348.67 × 2,305.50
  4. Step 4: Simplify right side
    3,877.50x = 12,331,358.69
  5. Step 5: Solve for x
    x = 12,331,358.69/3,877.50
  6. Step 6: Final answer
    x = 3,180.23

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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.