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Finding the Fourth Proportional to 5,463.94, 7,540.16 and 3,073.90

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Solution

The fourth proportional to 5,463.94, 7,540.16 and 3,073.90 is: 4,241.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,463.94 : 7,540.16 = 3,073.90 : x
  2. Step 2: Convert to fraction form
    5,463.94/7,540.16 = 3,073.90/x
  3. Step 3: Cross multiply
    5,463.94x = 7,540.16 × 3,073.90
  4. Step 4: Simplify right side
    5,463.94x = 23,177,724.36
  5. Step 5: Solve for x
    x = 23,177,724.36/5,463.94
  6. Step 6: Final answer
    x = 4,241.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.