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Finding the Fourth Proportional to 3,972.60, 5,955.02 and 1,892.05

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Solution

The fourth proportional to 3,972.60, 5,955.02 and 1,892.05 is: 2,836.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.60 : 5,955.02 = 1,892.05 : x
  2. Step 2: Convert to fraction form
    3,972.60/5,955.02 = 1,892.05/x
  3. Step 3: Cross multiply
    3,972.60x = 5,955.02 × 1,892.05
  4. Step 4: Simplify right side
    3,972.60x = 11,267,165.82
  5. Step 5: Solve for x
    x = 11,267,165.82/3,972.60
  6. Step 6: Final answer
    x = 2,836.22

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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.