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Finding the Fourth Proportional to 5,242.20, 7,863.80 and 1,346.64

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Solution

The fourth proportional to 5,242.20, 7,863.80 and 1,346.64 is: 2,020.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.20 : 7,863.80 = 1,346.64 : x
  2. Step 2: Convert to fraction form
    5,242.20/7,863.80 = 1,346.64/x
  3. Step 3: Cross multiply
    5,242.20x = 7,863.80 × 1,346.64
  4. Step 4: Simplify right side
    5,242.20x = 10,589,707.63
  5. Step 5: Solve for x
    x = 10,589,707.63/5,242.20
  6. Step 6: Final answer
    x = 2,020.09

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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.