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Finding the Fourth Proportional to 3,927.24, 5,892.72 and 1,980.84

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Solution

The fourth proportional to 3,927.24, 5,892.72 and 1,980.84 is: 2,972.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.24 : 5,892.72 = 1,980.84 : x
  2. Step 2: Convert to fraction form
    3,927.24/5,892.72 = 1,980.84/x
  3. Step 3: Cross multiply
    3,927.24x = 5,892.72 × 1,980.84
  4. Step 4: Simplify right side
    3,927.24x = 11,672,535.48
  5. Step 5: Solve for x
    x = 11,672,535.48/3,927.24
  6. Step 6: Final answer
    x = 2,972.20

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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.