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Finding the Fourth Proportional to 5,245.12, 7,862.17 and 2,642.60

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Solution

The fourth proportional to 5,245.12, 7,862.17 and 2,642.60 is: 3,961.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,245.12 : 7,862.17 = 2,642.60 : x
  2. Step 2: Convert to fraction form
    5,245.12/7,862.17 = 2,642.60/x
  3. Step 3: Cross multiply
    5,245.12x = 7,862.17 × 2,642.60
  4. Step 4: Simplify right side
    5,245.12x = 20,776,570.44
  5. Step 5: Solve for x
    x = 20,776,570.44/5,245.12
  6. Step 6: Final answer
    x = 3,961.12

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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.