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Finding the Fourth Proportional to 5,305.28, 7,958 and 1,842.64

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Solution

The fourth proportional to 5,305.28, 7,958 and 1,842.64 is: 2,763.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.28 : 7,958 = 1,842.64 : x
  2. Step 2: Convert to fraction form
    5,305.28/7,958 = 1,842.64/x
  3. Step 3: Cross multiply
    5,305.28x = 7,958 × 1,842.64
  4. Step 4: Simplify right side
    5,305.28x = 14,663,729.12
  5. Step 5: Solve for x
    x = 14,663,729.12/5,305.28
  6. Step 6: Final answer
    x = 2,763.99

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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.