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Finding the Fourth Proportional to 6,405.20, 9,607.80 and 2,249.90

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Solution

The fourth proportional to 6,405.20, 9,607.80 and 2,249.90 is: 3,374.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.20 : 9,607.80 = 2,249.90 : x
  2. Step 2: Convert to fraction form
    6,405.20/9,607.80 = 2,249.90/x
  3. Step 3: Cross multiply
    6,405.20x = 9,607.80 × 2,249.90
  4. Step 4: Simplify right side
    6,405.20x = 21,616,589.22
  5. Step 5: Solve for x
    x = 21,616,589.22/6,405.20
  6. Step 6: Final answer
    x = 3,374.85

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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.