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Finding the Fourth Proportional to 4,892.40, 7,322.40 and 3,790.80

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Solution

The fourth proportional to 4,892.40, 7,322.40 and 3,790.80 is: 5,673.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.40 : 7,322.40 = 3,790.80 : x
  2. Step 2: Convert to fraction form
    4,892.40/7,322.40 = 3,790.80/x
  3. Step 3: Cross multiply
    4,892.40x = 7,322.40 × 3,790.80
  4. Step 4: Simplify right side
    4,892.40x = 27,757,753.92
  5. Step 5: Solve for x
    x = 27,757,753.92/4,892.40
  6. Step 6: Final answer
    x = 5,673.65

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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.