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Finding the Fourth Proportional to 5,043.25, 6,960.24 and 2,890

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Solution

The fourth proportional to 5,043.25, 6,960.24 and 2,890 is: 3,988.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,043.25 : 6,960.24 = 2,890 : x
  2. Step 2: Convert to fraction form
    5,043.25/6,960.24 = 2,890/x
  3. Step 3: Cross multiply
    5,043.25x = 6,960.24 × 2,890
  4. Step 4: Simplify right side
    5,043.25x = 20,115,093.60
  5. Step 5: Solve for x
    x = 20,115,093.60/5,043.25
  6. Step 6: Final answer
    x = 3,988.52

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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.