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Finding the Fourth Proportional to 6,416.56, 9,620.88 and 2,519.20

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Solution

The fourth proportional to 6,416.56, 9,620.88 and 2,519.20 is: 3,777.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.56 : 9,620.88 = 2,519.20 : x
  2. Step 2: Convert to fraction form
    6,416.56/9,620.88 = 2,519.20/x
  3. Step 3: Cross multiply
    6,416.56x = 9,620.88 × 2,519.20
  4. Step 4: Simplify right side
    6,416.56x = 24,236,920.90
  5. Step 5: Solve for x
    x = 24,236,920.90/6,416.56
  6. Step 6: Final answer
    x = 3,777.25

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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.