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Finding the Fourth Proportional to 5,494.12, 8,242.20 and 1,797.40

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Solution

The fourth proportional to 5,494.12, 8,242.20 and 1,797.40 is: 2,696.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.12 : 8,242.20 = 1,797.40 : x
  2. Step 2: Convert to fraction form
    5,494.12/8,242.20 = 1,797.40/x
  3. Step 3: Cross multiply
    5,494.12x = 8,242.20 × 1,797.40
  4. Step 4: Simplify right side
    5,494.12x = 14,814,530.28
  5. Step 5: Solve for x
    x = 14,814,530.28/5,494.12
  6. Step 6: Final answer
    x = 2,696.43

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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.