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Finding the Fourth Proportional to 5,305.40, 7,955.94 and 2,382.92

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Solution

The fourth proportional to 5,305.40, 7,955.94 and 2,382.92 is: 3,573.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.40 : 7,955.94 = 2,382.92 : x
  2. Step 2: Convert to fraction form
    5,305.40/7,955.94 = 2,382.92/x
  3. Step 3: Cross multiply
    5,305.40x = 7,955.94 × 2,382.92
  4. Step 4: Simplify right side
    5,305.40x = 18,958,368.54
  5. Step 5: Solve for x
    x = 18,958,368.54/5,305.40
  6. Step 6: Final answer
    x = 3,573.41

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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.