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Finding the Fourth Proportional to 5,246.12, 7,863.67 and 2,643.60

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Solution

The fourth proportional to 5,246.12, 7,863.67 and 2,643.60 is: 3,962.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,246.12 : 7,863.67 = 2,643.60 : x
  2. Step 2: Convert to fraction form
    5,246.12/7,863.67 = 2,643.60/x
  3. Step 3: Cross multiply
    5,246.12x = 7,863.67 × 2,643.60
  4. Step 4: Simplify right side
    5,246.12x = 20,788,398.01
  5. Step 5: Solve for x
    x = 20,788,398.01/5,246.12
  6. Step 6: Final answer
    x = 3,962.62

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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.