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Finding the Fourth Proportional to 5,241.24, 7,862.67 and 1,954.80

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Solution

The fourth proportional to 5,241.24, 7,862.67 and 1,954.80 is: 2,932.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,241.24 : 7,862.67 = 1,954.80 : x
  2. Step 2: Convert to fraction form
    5,241.24/7,862.67 = 1,954.80/x
  3. Step 3: Cross multiply
    5,241.24x = 7,862.67 × 1,954.80
  4. Step 4: Simplify right side
    5,241.24x = 15,369,947.32
  5. Step 5: Solve for x
    x = 15,369,947.32/5,241.24
  6. Step 6: Final answer
    x = 2,932.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.