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Finding the Fourth Proportional to 4,892.52, 7,338.38 and 1,382.46

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Solution

The fourth proportional to 4,892.52, 7,338.38 and 1,382.46 is: 2,073.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.52 : 7,338.38 = 1,382.46 : x
  2. Step 2: Convert to fraction form
    4,892.52/7,338.38 = 1,382.46/x
  3. Step 3: Cross multiply
    4,892.52x = 7,338.38 × 1,382.46
  4. Step 4: Simplify right side
    4,892.52x = 10,145,016.81
  5. Step 5: Solve for x
    x = 10,145,016.81/4,892.52
  6. Step 6: Final answer
    x = 2,073.58

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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.