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Finding the Fourth Proportional to 3,226.52, 4,840.58 and 918

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Solution

The fourth proportional to 3,226.52, 4,840.58 and 918 is: 1,377.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,226.52 : 4,840.58 = 918 : x
  2. Step 2: Convert to fraction form
    3,226.52/4,840.58 = 918/x
  3. Step 3: Cross multiply
    3,226.52x = 4,840.58 × 918
  4. Step 4: Simplify right side
    3,226.52x = 4,443,652.44
  5. Step 5: Solve for x
    x = 4,443,652.44/3,226.52
  6. Step 6: Final answer
    x = 1,377.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.