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Finding the Fourth Proportional to 3,615.46, 5,414.54 and 1,967.92

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Solution

The fourth proportional to 3,615.46, 5,414.54 and 1,967.92 is: 2,947.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615.46 : 5,414.54 = 1,967.92 : x
  2. Step 2: Convert to fraction form
    3,615.46/5,414.54 = 1,967.92/x
  3. Step 3: Cross multiply
    3,615.46x = 5,414.54 × 1,967.92
  4. Step 4: Simplify right side
    3,615.46x = 10,655,381.56
  5. Step 5: Solve for x
    x = 10,655,381.56/3,615.46
  6. Step 6: Final answer
    x = 2,947.17

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