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Finding the Fourth Proportional to 5,382.24, 7,426.88 and 3,023.88

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Solution

The fourth proportional to 5,382.24, 7,426.88 and 3,023.88 is: 4,172.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.24 : 7,426.88 = 3,023.88 : x
  2. Step 2: Convert to fraction form
    5,382.24/7,426.88 = 3,023.88/x
  3. Step 3: Cross multiply
    5,382.24x = 7,426.88 × 3,023.88
  4. Step 4: Simplify right side
    5,382.24x = 22,457,993.89
  5. Step 5: Solve for x
    x = 22,457,993.89/5,382.24
  6. Step 6: Final answer
    x = 4,172.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.