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Finding the Fourth Proportional to 3,226.91, 4,840.27 and 918.41

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Solution

The fourth proportional to 3,226.91, 4,840.27 and 918.41 is: 1,377.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,226.91 : 4,840.27 = 918.41 : x
  2. Step 2: Convert to fraction form
    3,226.91/4,840.27 = 918.41/x
  3. Step 3: Cross multiply
    3,226.91x = 4,840.27 × 918.41
  4. Step 4: Simplify right side
    3,226.91x = 4,445,352.37
  5. Step 5: Solve for x
    x = 4,445,352.37/3,226.91
  6. Step 6: Final answer
    x = 1,377.59

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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.