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Finding the Fourth Proportional to 4,892.19, 7,338.12 and 1,382.46

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Solution

The fourth proportional to 4,892.19, 7,338.12 and 1,382.46 is: 2,073.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.19 : 7,338.12 = 1,382.46 : x
  2. Step 2: Convert to fraction form
    4,892.19/7,338.12 = 1,382.46/x
  3. Step 3: Cross multiply
    4,892.19x = 7,338.12 × 1,382.46
  4. Step 4: Simplify right side
    4,892.19x = 10,144,657.38
  5. Step 5: Solve for x
    x = 10,144,657.38/4,892.19
  6. Step 6: Final answer
    x = 2,073.64

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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.