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Finding the Fourth Proportional to 3,216.42, 4,826.78 and 1,136.44

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Solution

The fourth proportional to 3,216.42, 4,826.78 and 1,136.44 is: 1,705.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,216.42 : 4,826.78 = 1,136.44 : x
  2. Step 2: Convert to fraction form
    3,216.42/4,826.78 = 1,136.44/x
  3. Step 3: Cross multiply
    3,216.42x = 4,826.78 × 1,136.44
  4. Step 4: Simplify right side
    3,216.42x = 5,485,345.86
  5. Step 5: Solve for x
    x = 5,485,345.86/3,216.42
  6. Step 6: Final answer
    x = 1,705.42

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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.